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

1 Answer
MeneerNask
Aug 30, 2016

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.

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