Question

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

Answer 1

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

Explanation:

`=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.