Question

How do you simplify `(sqrt3+4 sqrt5)(2 sqrt3- sqrt5)`?

Answer 1

`=7sqrt15-14`

Explanation:

First we will multiply term by term and get:

`sqrt3*2sqrt3-sqrt3*sqrt5+4sqrt5*2sqrt3-4sqrt5*sqrt5`

`=2*3-sqrt15+8sqrt15-4*5`

Then we will sum the like terms and get:

`=6+7sqrt15-20`

`=7sqrt15-14`