# How do you simplify (3 + sqrt6)(5 +sqrt6)?

Apr 8, 2017

$21 + 8 \sqrt{6}$

#### Explanation:

1. Multiply both factors

(3 + sqrt(6))(5 + sqrt(6))= 3×5 + 3 sqrt(6) + sqrt(6)×5 + sqrt(6) sqrt(6)

2. Multiply 3 and 5 together and combine products of same terms.

$= 15 + 3 \sqrt{6} + 5 \sqrt{6} + 6$

3. Add 15 + 6 and (3+5)$\sqrt{6}$

Result: $21 + 8 \sqrt{6}$