Question

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

Answer 1

`=color(blue)( 8sqrt5 -30`

Explanation:

`color(blue)(2sqrt5) * (4 - 3sqrt5)`

`= color(blue)(2 * sqrt5) * (4 ) +color(blue)(2sqrt5) *(- 3sqrt5)`

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

`= 8sqrt5 -6 * sqrt5 * sqrt5`

`= 8sqrt5 -6 *5`

`=color(blue)( 8sqrt5 -30`