Question

How do you simplify `(sqrt2 - sqrt3) (sqrt2 + sqrt3)`?

Answer 1

See the solution process below:

Explanation:

This is an example for the rule for:

`(a - b)(a + b) = a^2 - b^2`

Substitute `sqrt(2)` for `a` and `sqrt(3)` for `b`:

`(sqrt(2) - sqrt(3))(sqrt(2) + sqrt(3)) = (sqrt(2))^2 - (sqrt(3))^2 =`

`2 - 3 = -1`