How do you simplify $4sqrt6*3sqrt3$ ?

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Answer 1 · 2015-06-13T22:34:52

Use $sqrt(ab) = sqrt(a)sqrt(b)$ to find:

$4sqrt(6)*3sqrt(3) = 36sqrt(2)$

$4sqrt(6)*3sqrt(3) = 4sqrt(2*3)*3sqrt(3)$

$=4sqrt(2)sqrt(3)*3sqrt(3)$

$=12sqrt(3)sqrt(3)sqrt(2)$

$=12*3sqrt(2)$

$=36sqrt(2)$

How do you simplify 4sqrt6*3sqrt34sqrt6*3sqrt3?