Question

Multiply and simplify

Answer 1

\[\sqrt{3}(4 + \sqrt{12})\]

1. Use distributive property:
\[4\sqrt{3} + \sqrt{12}\sqrt{3}\]

2. Rewrite the second term into one square root:
\[4 \sqrt{3} + \sqrt{12 \dot\ 3}\]

3. Multiply the numbers in the square root:
\[4 \sqrt{3} + \sqrt{36}\]

4. simplify:
\[4 \sqrt{3} + 6\]

Answer 2

Sometimes, teachers like seeing things re-written in the same form as presented. If this is the case, our last step is to factor out a common factor of 2:

\[2(2\sqrt{3} + 3)\]