Question

√3(2+√2)-√2(2√3-3√2)

Answer 1

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