Question

How do you simplify `sqrt5(5 sqrt3 - 2 sqrt4)`?

Answer 1

`= 5 sqrt15 -2 sqrt20`

Explanation:

`color(blue)(sqrt5) * ( 5 sqrt3 - 2 sqrt4)`

`= color(blue)(sqrt5) * ( 5 sqrt3 ) + color(blue)(sqrt5) * ( - 2 sqrt4)`

`= 5 * sqrt5 * sqrt3 + color(green)( (-2) * sqrt5 * sqrt4`

`= 5 * sqrt15 + color(green)( (-2) * sqrt20`

`= 5 sqrt15 -2 sqrt20`