Simplifying Algebraic Expressions: An Example with Step-by-Step Guide

ProPatto16 · 2011-03-13T10:48:49+00:00

in an example I've got in a textbook it shows this sqrt(4t2+4t4+1) becomes 2t2+1 how?

Thread starter ProPatto16
Start date Mar 13, 2011
Tags

Confusing

Mar 13, 2011

ProPatto16

in an example I've got in a textbook it shows this

<2t,2t²,1>
sqrt(4t²+4t⁴+1)

becomes

<2t,2t²,1>
2t²+1

how?

Physics news on Phys.org

Scientist returns to microbial roots and discovers potential quantum computing advancement
Physicists achieve record precision in measuring proton-to-electron mass ratio with H₂⁺
Quantum calculations provide a sharper image of subatomic stress

Mar 13, 2011

cragar

they factored the bottom part and then took the square root .

Mar 13, 2011

HallsofIvy

Science Advisor

Homework Helper

\sqrt{a^2}= |a|
and 2t^2+ 1 is never negative.

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

View full post »

Thread 'Solve this problem that involves induction'

Hello, This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread. Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).

View full post »