Question

Simplify each of the following expressions:
$(3+\sqrt{3})(2+\sqrt{2})$

Answer 1

$(3+\sqrt{2})(2+\sqrt{2})$

$=3(2+\sqrt{2})+\sqrt{2}(2+\sqrt{2})$

$=6+3\sqrt{2}+2\sqrt{2}+2$

$=8+5\sqrt{2}$