Question

multiply.

\\(5 + 3\sqrt{6})(1 + 2\sqrt{2})\\

simplify your answer as much as possible.

Explanation:

Expand using the distributive property

$$ (5 + 3\sqrt{6})(1 + 2\sqrt{2}) = 5(1) + 5(2\sqrt{2}) + 3\sqrt{6}(1) + 3\sqrt{6}(2\sqrt{2}) $$

Multiply individual terms

$$ = 5 + 10\sqrt{2} + 3\sqrt{6} + 6\sqrt{12} $$

Simplify the radical term

$$
LATEXBLOCK0
$$

$$ = 5 + 10\sqrt{2} + 12\sqrt{3} + 3\sqrt{6} $$

Answer:

\(5 + 10\sqrt{2} + 12\sqrt{3} + 3\sqrt{6}\)