Question

How do you simplify `(3-2sqrt2)/(1+sqrt2)`?

Answer 1

`-7+5sqrt(2)`

Explanation:

you can multiply numerator and denominator by `1-sqrt(2)`

`((3-2sqrt(2))(1-sqrt(2)))/((1+sqrt(2))(1-sqrt(2))`

`(3-3sqrt(2)-2sqrt(2)+4)/(1-2)`

`(7-5sqrt(2))/-1`

`-7+5sqrt(2)`