Question

How do you simplify `(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)`?

Answer 1

`-46+14sqrt10`

Explanation:

Let's multiply and get:

`-4sqrt5*2sqrt5-4sqrt5*(-3sqrt2)+sqrt2*2sqrt5+sqrt2*(-3sqrt2)`

`=-8*5+12sqrt10+2sqrt10-3*2`

Let's sum the like terms:

`-46+14sqrt10`