How do you simplify $3sqrt18$ ?

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Answer 1 · 2016-03-15T08:39:01

$9sqrt(2)$

Every positive integer can be expressed as a product of prime numbers. This can be helpful when simplifying roots of integers.

Notice that: $18 = 2*3^2$

Therefore $3sqrt(18) = 3sqrt(2*3^2) = 3*3sqrt(2)$
$= 9sqrt(2)$

How do you simplify 3sqrt183sqrt18?