How do you simplify $sqrt( 72a^2b^3)$ ?

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Answer 1 · 2015-07-08T09:41:23

$6a*b*sqrt(2b)$

Factorise everything and you have:
$sqrt(72*a^2*b^3)=sqrt(2^3*3^2*a^2*b^3)=sqrt(2^2*3^2*a^2*b^2*2b)$

Pull the squared terms out of the root sign (root and square operations cancel each other) and you have the answer.

How do you simplify sqrt( 72a^2b^3)sqrt( 72a^2b^3)?