Question

3 root 2 + 2 root 5 and 2 root 2 + root 5

Answer 1

$3 \sqrt{2} + 2 \sqrt{5} + 2 \sqrt{2} + \sqrt{5} \\ \\ \\ = > 3 \sqrt{2} + 2 \sqrt{2} + 2\sqrt{5} + \sqrt{5} \\ \\ \\ = > \sqrt{2} (3 + 2) + \sqrt{5} (2 + 1) \\ \\ \\ = > \sqrt{2} (5) + \sqrt{5} (3) \\ \\ \\ = > 5 \sqrt{2} + 3 \sqrt{5} \\ \\ \\ = > \: 5 \sqrt{2} + 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{5} ( \sqrt{10} + 3)$