Square root Definition and 378 Threads

Happy Square Root Day all. Today, 3/3/2009, is square root day because 3 \times 3 = 2009. That's as good a reason to have friends over for a beer as any. http://www.myfoxdc.com/dpp/news/dpg_Math_Fans_To_Celebrate_Square_Root_Day2223492"

Homework Statement the value of f(x) = (sqrrt e^x +3) at x=0.08 obtained from the tangent to the graph at x=0 is...? Homework Equations The Attempt at a Solution i used linear approximation. (sqrrt e^o +3) + (1/2(sqrrt3+e^0)(0.08) i got an answer but i know its wrong. i...

i am given this function and need to integrate it \frac{4x+7}{\sqrt{-4x^2+20x-9}} i have been trying to intergrate it by calling something T, preferably the expression under the sqrd root, or part thereof (-4x2+20x=T) but i can't find the way to do this, can't find the best expression that...

Hi, I'm having trouble understanding some statements in this proof from my textbook: "Thus, 2 = s^2/t^2 and 2t^2 = s^2. Since s^2 and t^2 are squares, s^2 contains an even number of 2's as prime factors (This is our Q statement), and t^2 contains an even number of 2's. But then t^2 contains an...

I want to find the value of r such that: sqrt[(r^2)+(110^2)] + r = 160 Is there a way of doing it? I have found a solution through trial and error (1dp). But I want a method of finding an exact answer. Thanks

Homework Statement What is the deriv. of the square root of (xy)? Homework Equations The Attempt at a Solution I used the chain rule: (1/2)(xy)^(-1/2) times (y + x(dy/dx)) i am unsure on how to distribute this correctly

Homework Statement prove that if n is a natural number greater than 0, then sqrt(n^2 + 1) is not a natural number. Homework Equations The Attempt at a Solution I can't tell if I am right, which probably means that I am not. Assume sqrt(n^2+1) is a natural number. Then there is...

Square Root Of 2 (from Hardy "Course Of Pure Mathematics") I was surprised to find it in my local bookstore amidst math "cheat" books in the one-shelf math section (and the fact that it was the last copy left... ??). Is he asking to simply carry out the calculation? Or is he asking to...

Hi, I was taking a square root of a fraction and I was wondering how to get a fraction result after I've taken the square root of it. And it also made it think; How do I take a root of a number in pen and paper, without the use of calulators? Can anyone help me? Thanks

Hi all, I've been musing on a problem I came across whilst decanting some sloe gin (that time of the year here in the UK and all that). Essentially, I want to know given a vessel of known dimensions, open to the atmosphere at the top, with a hole in the bottom, and a pipe at the top filling...

y = 2x square root of (x^2+1) I'm not exactly sure how to start off this problem. Am I supposed to use the chain rule or some other rule? I really need help on understanding this, so if anyone is kind enough to provide detailed steps, I thank you so much.

prove that the square root of 2 plus the square root of 3 is not rational? does always the sum of two not rational numbers is a not rational number? i know the proof 2 = a^2/b^2 i separately proved that square root of 2 and square root of 3 are irrational how two prove that the sum...

Homework Statement Suppose T \in L(\textbf{C}^3) defined by T(z_{1}, z_{2}, z_{3}) = (z_{2}, z_{3}, 0). Prove that T has no square root. More precisely, prove that there does not exist S \in L(\textbf{C}^3) such that S^{2} = T. Homework EquationsThe Attempt at a Solution I showed in a...

How do you show that the cubic root of two + the square root of two is irrational? I can easily show that each of these numbers is irrational, but not the sum :/.

Homework Statement Let G be a finite group in which every element has a square root. That is, for each x\epsilon G, there exists y \epsilon G such that \(y^2=x.\)Prove that every element in G has a unique square root. The Attempt at a Solution Proof: Assume not. Let k be the order of G...

I know this must be an easy question, but I can't seem to remember how to do it: \sqrt{z^2+R^2 - 2zR} - \sqrt{z^2+R^2 + 2zR} Can someone go through step by step how to solve this? This isn't a homework question but I've been running into this problem more often in multiple courses. So far...

1. describe the square root of 0 from the following perspectives: A. Algebraic B. Complex Numbers C. Limits

Homework Statement \int \sqrt{t^8 + t^6 } dt Homework Equations The Attempt at a Solution I'm not sure what to do next, can someone point me in the right direction? Thank you.

"Square Root of N" Law of Random Counts According to my lab manual, "Theory says that radioactive decay obeys statistics for which the standard deviation of the counts per time interval is equal to the square root of the mean number of counts for that interval, for cases when the mean is a...

I need help finding the derivative of the following equation. This may look a little messy because it involves a square root and a fraction. y = square root of: 1 + x2 / 3 + 3 - x / 5 My first thought is to change the equation to look like this: y = (1 + x2)1/2 / 3 + 3 - x / 5...

Homework Statement Calculate \int_{0}^{4}\sqrt{x} e^{\sqrt{x}) The Attempt at a Solution At first I tried substitution, but this didn't bring me anywhere since the integral is not of the form \int f(g(x))g'(x) My attempt at integration by parts also leads to an endless loop...

Hi. I'd like to show that sqrt(x*(x-1)) has the asymptote x-0.5. The coefficient on "x" is found by saying \lim_{x\rightarrow\infty}\frac{\sqrt{x(x-1)}}{x}=1 but how does one find the 0.5 constant?

I'm pretty sure it's not possible but if anybody has any kind of theory on finding the square root of a negative number go ahead share. Sorry if I sound a bit imature or "noobish". I'm new here and probably younger then a majority of the users here. Example: -100

[SOLVED] Re: Integral involving square root of e^x Homework Statement \int \sqrt{1-e^{-x}} Homework Equations Sub rule. The Attempt at a Solution I realized that it's fairly obvious I can use u=e^-x/2 to give \sqrt {1-u^2} but I'm kind of looking at the answers and I'm not seeing how I...

If one 4\times 4 matrix have two vanishing eigenvalues, does the matrix have a square root?

Where on the imaginary number axis do i graph sqrt(3i)? At sqrt3?

1. find the antiderivative of sqrt(81-x^2) in the bounds 0 to 9/2 okay so the first thing i did was sin substitution. where I made x = 9sin(t) dx = 9cos(t) where t is theta. then after some manipulating i got that that new integral was 9cos^2(t) i then used the double angle formula and...

Have this question in relation to some investment exam I am doing, I am a maths novice being some years since leaving school etc, ok enough of the excuses. Example FV = future value PV = present value R = interest rate N = number of compounding periods my PV is 6000 and my FV is...

Homework Statement Show that the square root of 3 is not rational Homework Equations The Attempt at a Solution A number is irrational if χ is not ε. Q=p/q: p, q ε z and q is not=0, z=integers If p/q: p, q is not ε or q=0, then square 3 is rational. If p=square root of 3 and q...

Homework Statement I want to know what's the formula to calculate the sum of the square root of integers from 1 to n. I got an identity from wikipedia but its too complicated for me, it involves bernoulli's number, i don't know what is that. Homework Equations The Attempt at a...

Homework Statement An equation in a book lists this equation: (c - 18)^{2} = (-3\sqrt{c})^{2} And it simplifies it as: c^{2} -45c + 324 = 02. The attempt at a solution When I do out the equation, I get: c^{2} + 324 = 9 + c i squared c, then -18 for the left side of the equation, then for the...

I was just going through some problems in a maths journal for undergraduate level i found a sum seeming simple but i am not able to solve it completely find domain of \sqrt{x^{12} - x^9 + x^4 -x +1}i know domain includes all negative value , all positive value >1 , but i can't get anything...

reducing sqrt(4t^2+4+1/t^2) to (1+2t^2)/t The Attempt at a Solution - This is actually just a portion of a calculus problem, but I can't figure out how the book did the algebra here. I get (2t^2+2t+1)/t and don't know how that reduces to (1+2t^2)/t. Please help.

how do i integrate: square root of((x^2)-4) i know i have to use substitution but what do i substitute?

Hello! I am just working through Zee's Quantum field theory in a nutshell and have a little problem. He calculates the free propagator and evaluates an integral (I doubt the integral is important for my question) when he writes "and the square root cut starting at \pm i*m leads to an...

Homework Statement The problem is really about finding the length of a parametrically defined curve, this in itself seems easy enough, but it's the integration part that's hard. The problem is as follows: x = cost y = t + sint t = 0...pi The Attempt at a Solution So in order to...

Homework Statement This problem is #17 in Chapter 3 of Giancoli's 5th Edition Physics. The summit of a mountain, 2085 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.4 degrees west of north, What are the x, y, and z components of the...

Integration of a composite square root function, easy (hard for me :( ) Homework Statement How would I integrate: y = \sqrt{(1 + 4x^2)} Homework Equations - The Attempt at a Solution I have no idea how to do this. I tried to to the chain rule in reverse, and then I ignored it, but I can't...

Homework Statement find \int x^{\frac{3}{2}}\sqrt{1+x} dx Homework Equations The Attempt at a Solution Now i tried all the methods i know of which include integration by parts and substitution,the integration by parts didn't work too well, so substitution I tried. let...

I'm confused on the graph: y=\sqrt{x}-4 I know the x- and y-intercepts which are: (0,-4) and (16,0) but I don't know if the graph extends to the negative x (3rd Quad). You can never square root a negative number and get a real number right? Therefore, does the graph just stop at the...

Isn't \sqrt{2}^{4} equal to 4?? How come when I plug this into my calculator it gives me the number:3.999999999996 , which is very close to 4 but isn't?? Is there something wrong with the settings of my calculator?

I am having a hard time figuring this out. Suppose we have a 4x4 matrix A, B and rotation matrix D. Matrix A represent position and orinetation of object1, matrix B represent position and orientation of object2. Matrix D is the position and oreintation of object2 relative to object1. B = D*A...

Just bored and decided I want to make my own little calculator on my computer. What is the method for finding the square root of an input number?

I feel embarassed to ask these questions but what is the rule for to simplify division, addition, and subtraction square roots? Here are some questions: SIMPLIFY:5\sqrt{24}\div2\sqrt{18} \sqrt{40} + \sqrt{90} \sqrt{50} - \sqrt{18}

Yes or no, Can you square root a zero. This is for a limits question.

Can anyone explain what the square root does? I know 3 squared equals the square root of 9. I want to learn what is actually happening behind the math, if that makes sense. Consider the following: I’m calculating the wavelength of light, and traveling towards the source. Speed of light =...

Homework Statement F(x)= square root of x what would F'(x)=? (F prime of x) Homework Equations F(x)= 3x^2 F'(x)=6x F(x)= x^3 F'(x)=3x^2 The Attempt at a Solution no clue. If the variable is a square root, it wouldn't have an exponent, right? confused.

what is /squared root sign4x+1 / what does this equal because I'm confused when it has the square root sign on it all and it's absolute value

Hi! I've got a question. There is a nice formula for finding square roots of arbitrary complex numbers z=a+bi: \frac{1}{\sqrt{2}}(\epsilon\sqrt{|z|+a}+i\sqrt{|z|-a}) where epsilon:=sing(b) if b≠0 or epsilon:=1 if b=0. I've just looked it up and it's nice to use it to find complex roots of...

what does \sqrt{i^2} equal to? is \sqrt{i^2} = i or \sqrt{i^2} = \pm i?