Question

How do you multiply `(3-sqrt2)(4+sqrt2)`?

Answer 1

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

`=(3xx4)+(3xxsqrt(2))-(sqrt(2)xx4)-(sqrt(2)xxsqrt(2))`

`=12+3sqrt(2)-4sqrt(2)-2`

`=(12-2)+(3-4)sqrt(2)`

`=10-sqrt(2)`