SOLUTION: Simplify by factoring the square root of 1575x^4 (x is to the 4th power). I don't know how to find the largest perfect square factor of a number, especially bigger numbers. I co

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Question 325222: Simplify by factoring the square root of 1575x^4 (x is to the 4th power). I don't know how to find the largest perfect square factor of a number, especially bigger numbers.
I couldn't view the dropdown option for the topic of my question, I appologize.

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


Factor into


Factor into


Break up the square root using the identity .


Take the square root of to get .


Take the square root of to get .


Rearrange and multiply the terms.

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Answer:


So simplifies to


In other words, where

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