Question

Simplify the expression: $\left(3+\sqrt{3}\right)\left(2+\sqrt{2}\right)$

Answer 1

By distributive law,

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