How do you simplify $sqrt(12a^3b^6)$ ?

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Answer 1 · 2015-11-03T14:58:13

$2ab^3sqrt(3a)$

write as $sqrt(12 times (a^2)a times (b^2)(b^2)(b^2))$

giving $ab^3sqrt(12a)$

but $12 = 3 times 4$ giving

$ab^3sqrt(3 times 4 times a)$

but $sqrt(4) = 2$ giving

$2ab^3sqrt(3a)$

How do you simplify sqrt(12a^3b^6)sqrt(12a^3b^6)?