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

Mar 11, 2017

See the solution process below:

#### Explanation:

This is an example for the rule for:

$\left(a - b\right) \left(a + b\right) = {a}^{2} - {b}^{2}$

Substitute $\sqrt{2}$ for $a$ and $\sqrt{3}$ for $b$:

$\left(\sqrt{2} - \sqrt{3}\right) \left(\sqrt{2} + \sqrt{3}\right) = {\left(\sqrt{2}\right)}^{2} - {\left(\sqrt{3}\right)}^{2} =$

$2 - 3 = - 1$