# How do you simplify (5 + sqrt 3)(5 - sqrt 3)?

Mar 22, 2018

$22$
We have $\left(a + b\right) \left(a - b\right)$ which is the factored form of ${a}^{2} - {b}^{2}$
$a = 5$
$b = \sqrt{3}$
${5}^{2} - {\sqrt{3}}^{2} = 25 - 3 = 22$