Question

(√3 - √2) (2√3 - 3√2)​

Answer 1

$( \sqrt{3} - \sqrt{2} )(2 \sqrt{3} - 3 \sqrt{2} ) \\ = \sqrt{3} (2 \sqrt{3} - 3 \sqrt{2} ) - \sqrt{2} (2 \sqrt{3} - 3 \sqrt{2} ) \\ = 2 \times 3 - 3 \sqrt{6} - 2 \sqrt{6} + 3 \times 4 \\ = 6 - 5 \sqrt{6} + 12 \\ = 18 - 5 \sqrt{6}$