Square root Definition and 383 Threads

Homework Statement Does the principal branch square root of z have a Laurent series expansion in the domain C-{0}? The Attempt at a Solution Well I'm not really sure what a principal branch is? I believe that there is a Laurent series expansion for z^(1/2) in C-{0} because originally our...

Homework Statement Hello. I'm trying to solve this equation: 16.9038=\sqrt{1470tan\theta} Homework Equations The Attempt at a Solution I just need to know what theta is. It's been a while since I've calculated something like this and just need someone to show me the steps...

I'm on mobile so I can't use latex. Differentiate: g(x)=√(4-x^4) , x is a set of [-√2, √2] and determine the domains. So I got the derivative which is, g'(x)=(-4x^3) ^1/2 What should I do with the -+√2 ? I don't know what to do next

Does this have to do with the eigenvalues?

Homework Statement Show that the -1 -2 4 -1 2x2 matrix has one square root. Homework Equations det(A-λI) to find Eigenvalues (A-λI)v=0 to find Eigenvectors A1/2 = V D1/2 V-1 to find the square root of A where V is the created matrix with the...

Determine the exact value of... (Square Root of Square Root) I was looking through my textbook and saw a interesting question, I attempted but couldn't get it. (The Answer in Back of Text Book Was Different From Mine..) Question Determine the exact value of... √10+√10+√10... I...

How does one calculate the square root of a quantity of x e.g. \sqrt{25x}? Also could you equate 5x^{2} to 25x? Just a thew random queries going around my head. NOTE: I'm 14.

" Solving this for κ, substituting into (1), and rearranging for G, the result is: " I am trying to rearrange the first equation to make κ the subject and I get: http://www.adamrapley.com/eqn1/CodeCogsEqn%20(6).gif http://www.adamrapley.com/eqn1/CodeCogsEqn%20(5).gif...

Homework Statement \int_{1}^{3}\sqrt{y^2+\frac{1}{2}+\frac{1}{16y^4}}dy Homework Equations The Attempt at a Solution I don't know what to do with this integral, but i do feel like this can be simplified into something much simpler. I tried rewriting it as...

Homework Statement \sqrt{\sum}x^{2}_{i}\leq\sum|x_{i}|\leq\sqrt{n}\sqrt{\sum}x^{2}_{i} *The sums are all from i=1 to n.* Homework Equations The Attempt at a Solution I'm very new to proof-based math, and just looking for some help to get started with this one. Thanks in advance.

square root in suqare root in square root in square root in... Homework Statement Find the value of: \sqrt{1001\sqrt{1002\sqrt{1003\sqrt{1004...}}}} Homework Equations exponential and surd The Attempt at a Solution I tried to square it but didn't find any patterns because the...

y = \sqrt{x^2- 2x + 1} The y' is always the slope right? Then if we simplify the equation y =\sqrt{(x-1)^2 }----or---y = \sqrt{(1-x)^2} y = x - 1 y = 1-x Checking:---------------Checking: \sqrt{(x-1)^2}-------------\sqrt{(1-x)^2}...

Hi! I have to solve a system of two coupled nonlinear ordinary differential equations. In the function that defines the system there are terms with square root of the dependant variables. I tried to solve the system numerically but in the nmerical solution I get violent oscillations. Then I...

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I found a way to find the square root of an expression which is confusing to me. Is anyone familiar to this method? And my main question... will it be useful?

Why arnt the two terms eqaul even though the square root of m was solved properly? And is this a general rule?

Homework Statement is there no square root for a negative number? is there no solution for this? q=-1 r=2 the square root of 2q - 5r The Attempt at a Solution 2x-1 - 5x2 = -12 sqaure root of -12? my calculator doesn't come up with a answer for the square root.

The square root yields only one value !? One guy advanced and asked me the question with an intention to judge my skill - " What is the value of x , if x2=4 " I , without any reluctance replied rather confidently - " Ha , its simple x will have 2 values : +2 and -2 " He laughed hard and said...

Hello, recently, I have found so called Batman graph and equation, which basically plots Batman sign. I have even found Python code that plots this implicit equation. Code can be found here: . And the equation is given here: [url]http://i.imgur.com/CNy9J.jpg If you look closelx...

Homework Statement EDIT: Ahhh, my apologies. At first, I thought it appropriate for the non-calculus sub-forum, but by the title it really does not, XD. I also can't seem to find how to remove it. The question really does not require calculus, though! Basically, the problem of finding the...

Hi! Does anyone know how to solve the following integral analitically? \int^{1}_{0} dx \ e^{B x^{2}} J_{0}(i A \sqrt{1-x^{2}}), where A and B are real numbers. Thanks!

Square Root of 6 <math>\sqrt{6}=\frac{sqrt{2}sqrt{3}}<\math>

How is squareroot(x)*(1/x)= 1/square root x can somebody please explain this? I think I am having a brain lockup...

Hey all, I've run into a snag with research and it is partly related to taking the square root of a matrix. I've seen related stuff concerning matrices that can be diagonalized, however the 2x2 matrix in question is not diagonalizable. Can the square root of such a matrix be determined? If...

Homework Statement Our teacher was talking about something regarding two tangent lines on a circle who distance between the tangent lines is square root of 3 times the radius of the circle... She wanted us to find the proof of this but I am stumped on where to even look... Does anyone know...

As you can't take the square root of a negative number without introducing complex numbers, which would be the correct answer to this function: Equation: x = -2 f(x) = √x / (x(x-1)) Answer a) 1.41i / 6 or Answer b) 0

Is there a way to simplify this? Is this a known function? tan(arccos(((x/y)-1/y )/ ((x/y)+ 1/y)))*((x/2)-1/2)=sqrt(x)

Banging my head against a wall trying to prove to a coworker why the square root of three shows up in a three-phase voltage drop calculation...any ideas?

Is anyone familiar with this method of determining square roots? http://www.cs.cas.cz/portal/AlgoMath/Geometry/PlaneGeometry/GeometricConstructions/SquareSquareRootConstruction.htm I have an equation that I'm working on that expands on this a bit and I'd love some feedback.

Hey there, Square roots never have been my strongest point in maths, but I'm not seeing the trick in this example: I'm trying to find an alternate form of: sqrt(3+sqrt(8)) I get as far as: sqrt(3+2 sqrt(2)) But i know i want to/should end up with: 1+sqrt(2) I just don't know how...

I arrived at this problem while trying to find the length of a 3D http://en.wikipedia.org/wiki/Cubic_interpolation" . Basically, I'm having to figure out how to integrate ((At4+Bt3+Ct2+Dt+E)1/2)dt A,B,C,D, and E are constants which have to be plugged in after integration, I'm sorry to say...

I am trying to find the domain of this function f(x)=sqrt(x^2 - 2x +5). i am supposing that y=x^2 - 2x +5 and y must be greater of equal to 0. in otherwords where the graph is touching or above x axis. to find where the graph is touching x-axis i am trying to find the x intercept and i get...

Homework Statement I don't know how to find the square root of a complex number in rectangular form? As in, say, \sqrt{}9-6i..my calculator can't do such an operation (yet my graphics calculator can, which can't be used in exams), so how do i go about to do this 'by hand'? I just found...

Homework Statement Calculate the area under the curve for the following: f(x) = √x*√(−32 − x) and g(x) = √(−x2 − 32x) Homework Equations The Attempt at a Solution I've been trying to do partial integration since the functions f(x)=g(x)area are mirrored, so they are equal...

Homework Statement integrate (xdx)/sqrt(1-x^2) on the integreal [2,5] Homework Equations integral u^n(du) = u^n+1/(n+1) The Attempt at a Solution I'm no good at using latex so I scanned in my work. I get .716 but when I check with my calculator it comes out as 2.863

Homework Statement Antiderivative of sqrt[e^x+ln(x^2)+1] Homework Equations The Attempt at a Solution (2[(e^x+ln(x^2)+1)^(3/2)]x^2)/[3(e^x+2x)]

Square root of 4.1-- do you have to use calculus? In order to solve square root of 4.1, is there a simple arithmetic method or do you have to use calculus and use that "tangent line approximation formula"? I wonder how do calculators do it... does anybody know?

does anyone know any specific method to find the square root of a polynomial like : 4x4 + 8x3 + 8x2 + 4x+ 1 ?? thanks in advance!

Homework Statement If p is prime \sqrt{p} is prime. Are there flaws in my proof ? Homework Equations The Attempt at a Solution Assume \sqrt{p}=\frac{m}{n} and gcd(m,n)=1 p = \frac{m^{2}}{n^{2}} Since p is an integer n^{2}|m^{2} but gcd(m,n)=1 Therefore...

Homework Statement [PLAIN]http://www4a.wolframalpha.com/Calculate/MSP/MSP184619c56eg84971107d00001e292h4340heh8g4?MSPStoreType=image/gif&s=35&w=135&h=53 It is a definite integral between x=0 and x=20. I forget how to integrate with a square root. Do you just change it to a power of a...

Homework Statement Integrate : f(t) = t3/ sqrt(t2+1) Homework Equations The Attempt at a Solution t2* t / sqrt(t2+1)let u = sqrt(t2+1) u=(t2+1)0.5 u2 = t2 +1 t2 = u2 -1 -Eq 1u=(t2-1)0.5 du = t/sqrt(t2-1) dt dt = sqrt(t2-1)/t du -Eq 2 Hence Substituting 1 and 2...

Homework Statement Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5 Homework Equations L = integral sqrt(1+(dx/dy)^2)dx The Attempt at a Solution I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It...

sorry, I am using phone, owho i hope you can get it. suppose its rational. in the form a/b gcd(a,b)=1 and so and so and so and then they concluded that a^2=2 is a contradiction. but i cannot see what it conradict the assumption. help

Hi all, I am trying to find a nice back-of-the-envelope way to numerically-calculate nasty things like square roots and stuff. For instance: \sqrt {4.51} = ? I tried to use a linearization: \sqrt x = \sqrt {n + \varepsilon } = \sqrt {\left[ {{\rm{integer}}} \right] + \left[ {{\rm{decimal...

Hi there, I am having difficulty with one aspect of intergration by substitution where the substituion of a square root is U^2, wondering if anyone can help. Problem: Integral of: 2x√(3x-4) dx by substituting U^2 = 3x-4 Would du^2/dx = 3 therefore 1/3 du^2 = dx (I think...

Given a symmetric 2x2 matrix, what would be the way to calculate the square root of it? Here, http://www.jstor.org/stable/2689616?seq=2 , it is announced that a relatively simple formula could be applied for the resulting matrix entries, but I could not access it further. Thanks

Is square root a function in this way? f:\mathbb C\rightarrow\mathbb R^+ However contradiction can be drawn:\sqrt{x^2}=|x|\text{ and } i^2=-1 \sqrt{-1}=\sqrt{i^2}=|i|=1 \sqrt{-1}=1 ??What is the problem in the...

1. square root of 144400 using Taylor series 2. I used the equation of sqrt(x) for x>2 given in http://www.understandingcalculus.com/chapters/23/23-1.php 3. I have tried it upto the 7th power and I got sqrt(144400)=1/0.209482810=4.773661 I know sqrt(144400)=380; and...

Homework Statement Hi guys, I'm doing a rather long math modelling task. As part of the task, I have to investigate the following argument: There is a rectangle ABCD. It is sliced by the line EF, such that EF is parallel to AD and BC. M is the midpoint of BC. X is a point on the line...

Is it a right mathematical operation (a*b)^0.5 = a^0.5 *b^0.5 when a and b either both are negative or one of them is negative.