Question

Simplify the flowing experessions
(√5-√2) × (√2-√3)

Answer 1

$= \sqrt{5} ( \sqrt{2} - \sqrt{3} ) - \sqrt{2} ( \sqrt{2 } - \sqrt{3} \\ = \sqrt{5 \times 2 } - \sqrt{5 \times 3} - \sqrt{2 \times 2} - \sqrt{2 \times 3} \\ = \sqrt{10} - \sqrt{15} - \sqrt{4} - \sqrt{6} \\ = \sqrt{10 } - \sqrt{15} - 2 - \sqrt{6}$