How do you simplify $root(3)96$ ?

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Answer 1 · 2016-05-04T00:35:28

$root(3)(96)=2root(3)(12)$

Using the fact that for $a, b >= 0$ we have $root(n)(ab) = root(n)(a)*root(n)(b)$ :

$root(3)(96) = root(3)(8*12)$

$=root(3)(8)*root(3)(12)$

$=root(3)(2^3)*root(3)(12)$

$=2root(3)(12)$

How do you simplify root(3)96root(3)96?