SOLUTION: I need some help! simplify and reduce to lowest terms 1 divided by square root T-5 plus 3 divided square root T+5 square root3 divided by (square root3 + square root2) Than

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Question 477533: I need some help!
simplify and reduce to lowest terms
1 divided by square root T-5 plus 3 divided square root T+5
square root3 divided by (square root3 + square root2)
Thank you !

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
simplify and reduce to lowest terms
1 divided by square root T-5 plus 3 divided square root T+5
---
[1/sqrt(T-5)] + [3/sqrt(T+5)]
-----
[sqrt(T+5) + 3sqrt(T-5)]/[sqrt(T^2-25)]
==================================================

square root3 divided by (square root3 + square root2)
sqrt(3)/[sqrt(3) + sqrt(2)]
----
Multiply numerator and denominator by [sqrt(3)-sqrt(2)] to get:
[sqrt(3)[sqrt(3)-sqrt(2)]/[3-2]
---
= [3 - sqrt(6)]
==================
Cheers,
Stan H.

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