Question

How do you simplify `4sqrt6(7sqrt6 - 4sqrt5)`?

Answer 1

You first use the distributive property to work out the parentheses:

Explanation:

`=4sqrt6*7sqrt6-4sqrt6*4sqrt5`

`=4*7*sqrt6*sqrt6-4*4*sqrt6*sqrt5`

`=28*(sqrt6)^2-16*sqrt(6*5)`

`=28*6-16sqrt30`

`=168-sqrt30`