# How do you simplify (9 +sqrt3)^2?

Jun 14, 2016

$= 84 + 18 \sqrt{3}$

#### Explanation:

Squaring a bracket means multiply it by itself.

This is the square of a binomial because there are 2 terms in the brackets. The answer will be TRINOMIAL.

${\left(9 + \sqrt{3}\right)}^{2} = \left(9 + \sqrt{3}\right) \left(9 + \sqrt{3}\right)$

$= 81 + 9 \sqrt{3} + 9 \sqrt{3} + {\sqrt{3}}^{2}$

$81 + 18 \sqrt{3} + 3$

$= 84 + 18 \sqrt{3}$