SOLUTION: Simplify by factoring. √(245k^7 q^8 )

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Question 248009: Simplify by factoring. √(245k^7 q^8 )
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Factor into


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 .


Take the square root of to get .


Rearrange and multiply the terms.

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Answer:


So simplifies to


In other words, where every variable is non-negative.

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