Question

How do you simplify `(sqrtm-sqrt5)^2`?

Answer 1

`=m-2sqrt(5m)+5`

Explanation:

Recall that `(a-b)^2=a^2-2ab+b^2`

`(sqrt(m)-sqrt(5))^2`
`=(sqrt(m))^2-2(sqrt(m))(sqrt(5))+(sqrt(5))^2`
`=m-2sqrt(m×5)+5`
`=m-2sqrt(5m)+5`