SOLUTION: Simplify expression showing work (25y^2)^1/2 (fraction 1/2)

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Question 188525: Simplify expression showing work
(25y^2)^1/2 (fraction 1/2)

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Convert to radical notation.


Break up the square root using the identity .


Take the square root of to get .


Take the square root of to get .



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Answer:


So simplifies to


In other words, where

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Simplify expression showing work
(25y^2)^1/2
===
= sqrt(25y^2)
= 5y
==========
Cheers,
Stan H.

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