How do you simplify $sqrt(6n)(7n^3+sqrt12)$ ?

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Answer 1 · 2016-08-30T11:33:31

First get rid of the parentheses by using the distribution rule:

$=sqrt(6n)xx7n^3+sqrt(6n)xxsqrt12$

You may want to rearrange:
$=7n^3xxsqrt(6n)+sqrt(6nxx12)$
$=7n^3sqrt(6n)+sqrt(6xx6xx2xxn)$
$=7n^3sqrt(6n)+sqrt(6xx6)xxsqrt(2xxn)$

Now take out the only square:
$=7n^3sqrt(6n)+6sqrt(2n)$

This is not much of a simplification, but it's as far as this goes.

How do you simplify sqrt(6n)(7n^3+sqrt12)sqrt(6n)(7n^3+sqrt12)?