How do you simplify $9sqrt2(4sqrt6)$ ?

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Answer 1 · 2017-05-24T13:16:26

See a solution process below:

First, rewrite the expression as:

$(9 * 4)(sqrt(2) * sqrt(6)) => 36(sqrt(2) * sqrt(6))$

Next, use this rule for multiplying radicals and it's reverse to complete the simplification:

$sqrt(a) * sqrt(b) = sqrt(a * b)$ and $sqrt(a * b) = sqrt(a) * sqrt(b)$

$36(sqrt(2) * sqrt(6)) => 36sqrt(2 * 6) => 36sqrt(12) =>$

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

$(36 * 2)sqrt(3) =>$

$72sqrt(3)$

How do you simplify 9sqrt2(4sqrt6)9sqrt2(4sqrt6)?