Question

How do you simplify `sqrt 5(10 - 4 sqrt2)`?

Answer 1

`= color(blue)(10sqrt5 -4sqrt10`

Explanation:

`color(red)(sqrt5)(10 - 4sqrt2)`

Multiplying `color(red)sqrt5` with each term within the brackets.

`=color(red)(sqrt5) .10 - color(red)(sqrt5).4sqrt2`
`= color(blue)(10sqrt5 -4sqrt10`