Checkpoint: Multi-Step Radical Expressions Solution

Simplify.

$(9 + 2 \sqrt{3}) (\sqrt{3} + 6) + 4 \sqrt{3}$

$9 \sqrt{3} + 54 + 2 \sqrt{9} + 12 \sqrt{3} + 4 \sqrt{3} 25 \sqrt{3} + 54 + 2 (3) 60 + 25 \sqrt{3}$

Note

You should distribute before adding in the last term. When distributing, you can combine coefficients, and you can combine radicands. You cannot combine a coefficient and a radicand.