Question

How do you simplify `sqrt5(6-sqrt5)`?

Answer 1

`6sqrt5-5`

Explanation:

Given: `sqrt5(6-sqrt5)`

Using the distributive property, `a(b-c)=ab-ac`.

`:.=6sqrt(5)-sqrt(5)*sqrt(5)`

`=6sqrt5-(sqrt(5))^2`

`=6sqrt(5)-5`