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How do you simplify #sqrt((9x^3y)/(16x^2y^2))#?

1 Answer

Jul 13, 2018

#color(violet)(=> (3/4) sqrt(x/y)#

Explanation:

#sqrt((9x^3y)/(16x^2y^2))#

#=> sqrt((9 cancel(x^3)^ color(red)x cancel y) / (16 cancel(x^2) cancel(y^2)^color(red)y))#

#=> sqrt ((3^2 x)/(4^2y))#

#color(violet)(=> (3/4) sqrt(x/y)#

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