Question

Solve: $(3+\sqrt{2})(4+\sqrt{3}-\sqrt{7})$.

Answer 1

$(3+\sqrt{2})(4+\sqrt{3}-\sqrt{7})$

$=(3\times 4)+3\sqrt{3}-3\sqrt{7}+4\sqrt{2}+\sqrt{6}-\sqrt{14})$

$=12+3\sqrt{3}-3\sqrt{7}+4\sqrt{2}+\sqrt{6}-\sqrt{14})$, which is the required solution.