Multiply Square Roots: example 9.52

Simplify: $(2 + \sqrt{3}) (4 - \sqrt{3})$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
$\begin{matrix} (2 + \sqrt{3}) (4 - \sqrt{3}) \\ Multiply. & 8 - 2 \sqrt{3} + 4 \sqrt{3} - 3 \\ Combine like terms. & 5 + 2 \sqrt{3} \end{matrix}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: $(1 + \sqrt{6}) (3 - \sqrt{6})$ .

How did it go?