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

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Answer 1 · 2018-07-13T13:37:23

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

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

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

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

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

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