SOLUTION: Please put in simplest form sqrt75y^4w^3

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Question 303462: Please put in simplest form
sqrt75y^4w^3

Found 2 solutions by jim_thompson5910, mananth:
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.

==================================================

Answer:


So simplifies to


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

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
sqrt75y^4w^3
sqrt (5*5*3y^4 *w*w*w)
5*y^2*wsqrt(3*w)
5y^2wsqrt3w

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