Question

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

Answer 1

`4sqrt(10)+5sqrt(2)`

Explanation:

`sqrt(10)*(4+sqrt(5))`
`=4*sqrt(10)+sqrt(5)*sqrt(10)`
`=4*sqrt(10)+sqrt(5*10)`
`=4*sqrt(10)+sqrt(5*5*2)`
`=4*sqrt(10)+sqrt(5^2*2)`
`=4sqrt(10)+5sqrt(2)`