Sep 30, 2010 at 0:14. 6. @Talvi Watia. No, there is no "higher imaginary number" because we don't need them; all we need is "i". We need "i" to solve equations like "x^2 = -1"; but as the other answers show, we can solve "x^2 = i" without any new numbers. The point of my answer is that we can solve any polynomial now. Algebra. Simplify square root of 28. √28 28. Rewrite 28 28 as 22 ⋅7 2 2 ⋅ 7. Tap for more steps... √22 ⋅7 2 2 ⋅ 7. Pull terms out from under the radical. 2√7 2 7. The result can be shown in multiple forms. For example, to get the square root of 25, you type =25^(1/2) or =25^0.5 in a cell. To find square root of a number in A2, you type: =A2^(1/2) or =A2^0.5. As shown in the screenshot below, the Excel SQRT function and the exponent formula yield identical results: This square root expression can also be used as part of bigger formulas.Jan 28, 2024 · Sqrt 1+sint = sqrt.(sint/2 +cost/2)^2 Which gives .(sint/2 +cost/2). As square root and square cancel out. And Laplace of (sint/2 +cost/2) will give you the answer. Share. Cite. Follow answered May 17, 2017 at 17:14. Hailmogambo Hailmogambo. 1 $\endgroup$ 1. 2 $\begingroup$ You must learn basic MATHJAX. See ...May 3, 2018 · Why would $\sqrt{-1}=i$ and not $\sqrt{-1}=-i$? There is no real reason to choose. What we do is to enumerate the roots; there are two square roots, three cubics roots, four fourth roots, etc.How to Calculate the Square Root of 1 with a Computer. On a computer you can also calculate the square root of 1 using Excel, Numbers, or Google Sheets and the SQRT function, like so: SQRT(1) = 1. What is the Square Root of 1 Written with an Exponent? All square root calculations can be converted to a number (called the base) with a fractional ... The square root of 1−i is √√2+12−i√√2−12. If this is true enter 1, else enter 0. View Solution.Free Square Root calculator - Find square roots of any number step-by-step Can anyone show how to calculate $$\int\sqrt{1+u^2}\,du?$$ I can't calculate it. Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, ...Jan 30, 2015 ... Integral of 1/sqrt(1-x^2) from 0 to sqrt(3)/2, Please subscribe and share my videos to help my channel grow! Comment #bprpYAY down below ...1/sqrt (x), sqrt (x), sqrt (x)^2. continued fraction theorems that hold for sqrt (6) tangent at sqrt (x) at x = 6. regular continued fraction expansion of square roots of rational numbers. Have a question about using Wolfram|Alpha? Contact Pro Premium Expert Support ». Give us your feedback ». Compute answers using Wolfram's breakthrough ...Jan 16, 2017 ... Integrate 1/sqrt(1+x^4), infinite series, binomial series.I can't seem to understand how to solve this. I mean, if we weren't dealing with complex numbers, then I suppose it is clearly 1, but I don't know how to approach this. Apparently the answer is $\\c...I can't seem to understand how to solve this. I mean, if we weren't dealing with complex numbers, then I suppose it is clearly 1, but I don't know how to approach this. Apparently the answer is $\\c...Apr 1, 2020 ... This video shows how to find the integral of Integral of sqrt(1+e^x).1/sqrt (2) in base 16. Have a question about using Wolfram|Alpha? Contact Pro Premium Expert Support ». Give us your feedback ». Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics ...rationalize\:denominator\:\frac{\sqrt{x}+1}{\sqrt{x}-1} Description. Rationalize denominator of radical and complex fractions step-by-step. rationalize-denominator-calculator. en. Related Symbolab blog posts. Practice, practice, practice. Math can be an intimidating subject. Each new topic we learn has symbols and problems we have ...Sep 30, 2010 at 0:14. 6. @Talvi Watia. No, there is no "higher imaginary number" because we don't need them; all we need is "i". We need "i" to solve equations like "x^2 = -1"; but as the other answers show, we can solve "x^2 = i" without any new numbers. The point of my answer is that we can solve any polynomial now. 🏼 https://integralsforyou.com - Integral of sqrt(1-cos(x)) - How to integrate it step by step using integration by substitution!🙈 𝐒𝐚𝐦𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚?...taylor series of 1/sqrt (1+x) - Wolfram|Alpha. taylor series of 1/sqrt (1+x) Natural Language. Math Input. Extended Keyboard. Examples. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics ...Mar 11, 2011 ... If you like this video, ask your parents to check Dr. Pan's new book on how they can help you do better in math without knowing math ...3 days ago · The square root of 2 (1.4142...) is a positive real number that, when multiplied by itself or squared, equals the number 2.It may be written in mathematics as or /.It is an algebraic number, and therefore not a transcendental number.Technically, it should be called the principal square root of 2, to distinguish it from the negative number with the …To find the square root of complex numbers is a little complicated. We can find the square root of a+ib using the below formula: \ (\begin {array} {l}\sqrt {a+b i}=\pm (\sqrt {\frac …Learn what is the square root of 1, how to find it using different methods, and its applications in geometry and algebra. The square root of 1 is 1, a rational number and a perfect square. Introduction to the integral of sqrt(1-x^2) In calculus, the integral is a fundamental concept that assigns numbers to functions to define displacement, area, volume, and all those functions that contain a combination of tiny elements.It is categorized into two parts, definite integral and indefinite integral. The process of integration …WolframAlpha Online Integral Calculator Solve integrals with Wolfram|Alpha x sin x2 d x Natural Language Math Input More than just an online integral solver Wolfram|Alpha is a …Jul 22, 2017 · Yes, if there is a field containing a root of x2 + 1 then if i is such a root so is −i. When we define a field such as C we are implicitly choosing a root of x2 + 1. The .√ here is different from the normal .√:R≥0 → R≥0. We're defining a 'new version' with the same symbol for convenience as it extends the old one.final answer will be: 55 Explanation: 51 = 51 * 1 ... Assuming that b ∈ R and b > 0, you would use the substitution w = 2bx, so that 2bx2 = w2. Since dw = 2bdx, we find ∫ −∞∞ e−2bx2 dx= 2b1 ∫ −∞∞ e−w2 dw = 2b1 π = 2bπ. Characterizing the critical point of a two-variable function when the Hessian determinant is zero.final answer will be: 55 Explanation: 51 = 51 * 1 ... Assuming that b ∈ R and b > 0, you would use the substitution w = 2bx, so that 2bx2 = w2. Since dw = 2bdx, we find ∫ −∞∞ e−2bx2 dx= 2b1 ∫ −∞∞ e−w2 dw = 2b1 π = 2bπ. Characterizing the critical point of a two-variable function when the Hessian determinant is zero.How to Calculate the Square Root of 1 with a Computer. On a computer you can also calculate the square root of 1 using Excel, Numbers, or Google Sheets and the SQRT function, like so: SQRT(1) = 1. What is the Square Root of 1 Written with an Exponent? All square root calculations can be converted to a number (called the base) with a fractional ... Mar 29, 2018 · The answer is =1/2arcsinx+1/2xsqrt (1-x^2)+C Let x=sintheta, =>, dx=costhetad theta costheta=sqrt (1-x^2) sin2theta=2sinthetacostheta=2xsqrt (1-x^2) Therefore, the integral is I=intsqrt (1-x^2)dx=intcostheta*costheta d theta =intcos^2thetad theta cos2theta=2cos^2theta-1 cos^2theta= (1+cos2theta)/2 Therefore, I=1/2int (1+cos2theta)d theta =1/2 ... Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepSimplify - square root of 1/25. Step 1. Rewrite as . Step 2. Any root of is . Step 3. Simplify the denominator. Tap for more steps... Step 3.1. Rewrite as . Step 3.2. Pull terms out from under the radical, assuming positive real numbers. Step 4. The result can be shown in multiple forms. Exact Form:If the limit exists, this definition is called the First Principles of Derivatives . f '(x) = lim h→0 f (x + h) − f (x) h. = lim h→0 √2(x +h) −1 −√2x − 1 h. Multiply both the numerator and denominator by the conjugate surd, as (√a −√b) ⋅ (√a + √b) = a − b. lim h→0 √2x +2h − 1 − √2x −1 h = lim h→0 (√ ...1/sqrt (x), sqrt (x), sqrt (x)^2. continued fraction theorems that hold for sqrt (6) tangent at sqrt (x) at x = 6. regular continued fraction expansion of square roots of rational numbers. Have a question about using Wolfram|Alpha? Contact Pro Premium Expert Support ». Give us your feedback ». Compute answers using Wolfram's breakthrough ...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Free Square Root calculator - Find square roots of any number step-by-stepTo sum up, the square roots of 1.8 are ±1.3416407865; the positive real value is the principal. Finding the second root of the number 1.8 is the inverse operation of rising the ²√1.8 to the power of 2. That is to say, (±1.3416407865) 2 = 1.8. Further information about the root of a number like ²√1.8 can be found on our page n-th Root. How to Calculate the Square Root of 1 with a Computer. On a computer you can also calculate the square root of 1 using Excel, Numbers, or Google Sheets and the SQRT function, like so: SQRT(1) = 1. What is the Square Root of 1 Written with an Exponent? All square root calculations can be converted to a number (called the base) with a fractional ... Integral of 1/sqrt(e^x - 1) - How to integrate it step by step using the substitution method!👋 Follow @integralsforyou on Instagram for a daily integral 😉?...Jan 16, 2017 ... Integrate 1/sqrt(1+x^4), infinite series, binomial series.discontinuities ceiling (sqrt (x)) Riemann surface sqrt (x+sqrt (x + sqrt (x))) sqrt (z) Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….Apr 8, 2023 ... √(-1) could be both i (if you rotate two times anticlockwise by 90° you get a rotation by 180°) or -i (similar reasoning). To avoid having two ...Algebra. Simplify - square root of 1/25. −√ 1 25 - 1 25. Rewrite √ 1 25 1 25 as √1 √25 1 25. − √1 √25 - 1 25. Any root of 1 1 is 1 1. − 1 √25 - 1 25. Simplify the denominator. Tap for more steps... find the volume of the y= (sqrt (x)) (x-1) revolved around y axis, 0<=x<=1. Natural Language. Math Input. Extended Keyboard. Examples. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, …Mar 29, 2018 · The answer is =1/2arcsinx+1/2xsqrt (1-x^2)+C Let x=sintheta, =>, dx=costhetad theta costheta=sqrt (1-x^2) sin2theta=2sinthetacostheta=2xsqrt (1-x^2) Therefore, the integral is I=intsqrt (1-x^2)dx=intcostheta*costheta d theta =intcos^2thetad theta cos2theta=2cos^2theta-1 cos^2theta= (1+cos2theta)/2 Therefore, I=1/2int (1+cos2theta)d theta =1/2 ... Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Using this condition, we can derive the value of the square root of minus one. Taking the square root on both sides of the equation (1), we get. √i 2 = √-1. Cancelling square and square root in the LHS of the above equation, √-1 = i. Hence, the square root of minus one √-1, is i, which is the principal square root of minus one. In simple words, it can be explained as: √1 = √ (1 x 1) √1 = √ (1) 2. √1= ±1. The square can be canceled with the square root as it is equivalent to 1/2; therefore, obtaining 1. Hence 1 is 1’s square root. The square root generates both positive and negative integers. 3 days ago · The imaginary unit i in the complex plane: Real numbers are conventionally drawn on the horizontal axis, and imaginary numbers on the vertical axis.. The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x 2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to …Mar 30, 2021 · Did you solve it? This is an "infinite square root" also known as a nested radical. This calculation involves assuming that the nested radical converges whi...Mar 30, 2021 · Did you solve it? This is an "infinite square root" also known as a nested radical. This calculation involves assuming that the nested radical converges whi...I have this series: $$\frac{1}{\sqrt1 + \sqrt2} +\frac{1}{\sqrt2 + \sqrt3} +\frac{1}{\sqrt3 + \sqrt4} +\cdots+\frac{1}{\sqrt{99} + \sqrt{100}} $$ My question is, what ...Mar 8, 2016 ... https://integralsforyou.com - Integral of 1/sqrt(1-x^2) - How to integrate it step by step using integration by substitution!The video explores the intriguing concept of imaginary numbers, specifically the imaginary unit 'i'. 'i' is equal to the square root of -1, and every complex number can be expressed as a + bi, where a and b are real numbers. This video clarifies misconceptions about square roots of negative numbers. Created by Sal Khan. To sum up, the square roots of 1.8 are ±1.3416407865; the positive real value is the principal. Finding the second root of the number 1.8 is the inverse operation of rising the ²√1.8 to the power of 2. That is to say, (±1.3416407865) 2 = 1.8. Further information about the root of a number like ²√1.8 can be found on our page n-th Root. I've found an interesting floating point problem. I have to calculate several square roots in my code, and the expression is like this: sqrt(1.0 - pow(pos,2)) where pos goes from -1.0 to 1.0 in a...Trigonometry. Simplify square root of 1-cos (x)^2. √1 − cos2 (x) 1 - cos 2 ( x) Apply pythagorean identity. √sin2(x) sin 2 ( x) Pull terms out from under the radical, assuming positive real numbers. sin(x) sin ( x) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step ...Sqrt(1.8). Find the square root of 1.8 or any other real number, positive or negative. Here are the answers to questions like: Square root of 1.8 or what is the square root of 1.8? -1 is 1 rotated over $\pi$ radians. The square root of a number on the unit circle is the number rotated over half the angle, so $i$, or $\sqrt{-1}$ is 1 rotated over $\pi/2$ …Trong toán học, căn bậc hai của một số a là một số x sao cho x² = a, hay nói cách khác là số x mà bình phương lên thì = a. Ví dụ, 4 và −4 là căn bậc hai của 16 ...$\sqrt{-1} = i$ is an imaginary number, not lying anywhere on the real number line. Therefore as others have said, it is neither rational nor irrational in the usual senses of those words. To comment on the specific grammar of the shirt: $\pi$'s imperative is 'Get real' which I would say has the connotation of 'join [the speaker's] group'. Nov 21, 2023 · The square root of a number is a number multiplied times itself. The {eq}\sqrt-1 = \pm i {/eq}. The unit i was developed years ago when trying to find a solution to the equation {eq}x^2 + 1 = 0 {/eq}. Sep 20, 2015 · The principal square root of minus one is i. It has another square root -i. I really dislike the expression "the square root of minus one". Like all non-zero numbers, -1 has two square roots, which we call i and -i. If x is a Real number then x^2 >= 0, so we need to look beyond the Real numbers to find a square root of -1. Complex numbers can be thought of as an extension of Real numbers from ... Square root 1 to 100: Square root of a number is a value, which on multiplication by itself, gives the original number. If p is a positive integer, then the square root of p is represented by √p, such that √p = q. There is a list of square roots of 1 to 100 numbers, mentioned in this article. But before heading for it, let us learn some basics here.Thus, the integral turns into. Here, one now chooses a proper value of m such that the integrand reduces to a constant. Skipping the details, we let m = 2 + √3 4 such that. To undo the substitutions, we note that u = F(arccos(v) | m) …In simple words, it can be explained as: √1 = √ (1 x 1) √1 = √ (1) 2. √1= ±1. The square can be canceled with the square root as it is equivalent to 1/2; therefore, obtaining 1. Hence 1 is 1’s square root. The square root generates both positive and negative integers. integrate sqrt(x^3+1) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition ...1/sqrt (x), sqrt (x), sqrt (x)^2. continued fraction theorems that hold for sqrt (6) tangent at sqrt (x) at x = 6. regular continued fraction expansion of square roots of rational numbers. Have a question about using Wolfram|Alpha? Contact Pro Premium Expert Support ». Give us your feedback ». Compute answers using Wolfram's breakthrough ...Apr 27, 2022 · More answers. The square root of 1 is plus or minus 1. √1 = ± 1 The reason is that 12 = 1 and -12 = 1. (Either 1 squared or minus 1 squared equals one.) The square root of 1 is also 1, so then you just take the square root of that, which is, again, 1. ' 1 ' actually has two different square roots. They are +1 and -1. The square root of 1−i is √√2+12−i√√2−12. If this is true enter 1, else enter 0. View Solution.Free Square Root calculator - Find square roots of any number step-by-stepAlgebra. Simplify 1/ ( square root of 2) 1 √2 1 2. Multiply 1 √2 1 2 by √2 √2 2 2. 1 √2 ⋅ √2 √2 1 2 ⋅ 2 2. Combine and simplify the denominator. Tap for more steps... √2 2 2 2. The result can be shown in multiple forms. Any root of 1 1 is 1 1. 1 √9 1 9. Simplify the denominator. Tap for more steps... 1 3 1 3. The result can be shown in multiple forms. Exact Form: Jun 24, 2014 · $\sqrt{x} = x^{1/2}$ so $\sqrt{\sqrt{x}} = (x^{1/2})^{1/2} = x^{1/4} = \sqrt[4]{x}$. Share. Cite. Follow edited Jun 24, 2014 at 14:27. answered Jun 24, 2014 at 14:17. James James. 5,443 1 1 gold badge 14 14 silver badges 23 23 bronze badges $\endgroup$ 2 $\begingroup$ So if that is the answer.I have this series: $$\frac{1}{\sqrt1 + \sqrt2} +\frac{1}{\sqrt2 + \sqrt3} +\frac{1}{\sqrt3 + \sqrt4} +\cdots+\frac{1}{\sqrt{99} + \sqrt{100}} $$ My question is, what ...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Now you can cancel h and finish the evaluation without getting an undefined answer. Naturally, if you check using the power rule and using 1 √x = x-1/2, you will get the same answer. The limit definition is: lim_ (h->0) (f (x+h) - f (x))/ (h) If you think of it in the following way, it should help: Take a regular graph and choose any point on it.Learn how to use the square root of -1, i, to solve equations, calculate complex numbers, and describe the unit imaginary number, 1. See how i can be useful for solving problems …How to Calculate the Square Root of 1 with a Computer. On a computer you can also calculate the square root of 1 using Excel, Numbers, or Google Sheets and the SQRT function, like so: SQRT(1) = 1. What is the Square Root of 1 Written with an Exponent? All square root calculations can be converted to a number (called the base) with a fractional ... Nov 20, 2016 ... https://integralsforyou.com - Integral of 1/sqrt(1+x^2) - How to integrate it step by step using integration by substitution!taylor series of sqrt(1+x) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For …continued fraction identities containing integrals. cheapest external hard drives. int 1/ (1/sqrt (x)) dx. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….discontinuities ceiling (sqrt (x)) Riemann surface sqrt (x+sqrt (x + sqrt (x))) sqrt (z) Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….Teams. Q&A for work. Connect and share knowledge within a single location that is structured and easy to search. Learn more about Teams Procedure 6.3.1: Finding Roots of a Complex Number. Let w be a complex number. We wish to find the nth roots of w, that is all z such that zn = w. There are n distinct nth roots and they can be found as follows:. Express both z and w in polar form z = reiθ, w = seiϕ. Then zn = w becomes: (reiθ)n = rneinθ = seiϕ.
The square root of a number \ (a\), denoted \ (\sqrt {a}\), is the number \ (b\) such that. \ [b^ {2} = a\text { and }b\ge 0.\] The square root symbol "\ (\sqrt {\ }\)" is also sometimes called a radical. The number or expression underneath the top line of the square root symbol is called the radicand. For example, in the expression \ (\sqrt ... . Homegoods near me hours
Square root 1 to 100: Square root of a number is a value, which on multiplication by itself, gives the original number. If p is a positive integer, then the square root of p is represented by √p, such that √p = q. There is a list of square roots of 1 to 100 numbers, mentioned in this article. But before heading for it, let us learn some basics here.5 Answers. The binomial formula shows you that (1 + √2)n = an + bn√2 for some integers an, bn. But, the same binomial formula shows you that (convince yourself of this) (1 − √2)n = an − bn√2 for the same. − 1 2 2(1 − √2)n Now conclude that a2n = 2b2n + 1, so that (1 + 2)n = n + b √2 = √ 2n + √a2n − 1.We couldn't describe $\sqrt{-1}$ with a real number, since the square of a positive number is positive, and the square of a negative number is positive. There is no real number whose square is negative. The square root of a real number is not always a real number. It turns out that $\sqrt{-1}$ is a rather curious number, which you can read ... 🏼 https://integralsforyou.com - Integral of sqrt(1-cos(x)) - How to integrate it step by step using integration by substitution!🙈 𝐒𝐚𝐦𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚?...How do you find the value of #tan^-1 sqrt(3)#? Trigonometry Inverse Trigonometric Functions Basic Inverse Trigonometric Functions. 1 AnswerMar 27, 2017 ... How to integrate sqrt(1-2x)sqrt () — Calculate Square Root. Threadsafe: Yes. The sqrt () function calculates the nonnegative value of the square root of x. The sqrt () function returns the square root result. If x is negative, the function sets errno to EDOM, and returns 0. This example computes the square root of the quantity that is passed as the first argument to main.Algebra. Simplify - square root of 1/25. −√ 1 25 - 1 25. Rewrite √ 1 25 1 25 as √1 √25 1 25. − √1 √25 - 1 25. Any root of 1 1 is 1 1. − 1 √25 - 1 25. Simplify the denominator. Tap for more steps... Apr 27, 2022 · More answers. The square root of 1 is plus or minus 1. √1 = ± 1 The reason is that 12 = 1 and -12 = 1. (Either 1 squared or minus 1 squared equals one.) The square root of 1 is also 1, so then you just take the square root of that, which is, again, 1. ' 1 ' actually has two different square roots. They are +1 and -1. Jan 22, 2017 ... Integration by Substitution: https://www.youtube.com/watch?v=voTWzA0SucY&list=PLJ-ma5dJyAqqsazSEWGUjrOMWVJsj2J36&index=1 ...final answer will be: 55 Explanation: 51 = 51 * 1 ... Assuming that b ∈ R and b > 0, you would use the substitution w = 2bx, so that 2bx2 = w2. Since dw = 2bdx, we find ∫ −∞∞ e−2bx2 dx= 2b1 ∫ −∞∞ e−w2 dw = 2b1 π = 2bπ. Characterizing the critical point of a two-variable function when the Hessian determinant is zero.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Mar 20, 2023 ... How to calculate the Taylor Expansion of sqrt(1+x). This is what we will do in this video, step-by-step. We will compute the first 4 terms ...Yes, square roots can create 2 answers -- the positive (principal) root and the negative root. When you are working with square roots in an expression, you need to know which value you are expected to use. The default is the principal root. We only use the negative root when there is a minus in front of the radical. For example: 8 + sqrt (9) = 11. Jan 30, 2015 ... Integral of 1/sqrt(1-x^2) from 0 to sqrt(3)/2, Please subscribe and share my videos to help my channel grow! Comment #bprpYAY down below ...Learn about the square root symbol and how to find square roots of positive and negative numbers. The video does not explain the square root of 1, which is not a real number.3^2 (squared) = 3 x 3 = 3+3+3 = 9. Taking the square root is figuring out what number multiplied by itself is equal to the number under the square root symbol. So: √4 = 2, because 2*2 OR 2^2 = 4. √9 = 3, because 3 x 3 = 9 OR 3^2 = 9. Hopefully that helps! 1 comment. Jul 20, 2013 ... 7 Answers 7 ... The latest addendum to the Numpy Documentation here, adds the command numpy.emath.sqrt which returns the complex numbers when the ....