Question

Простите выражение:

√13 +√52 +√104

Answer 1

$\sqrt{13} + \sqrt{52} + \sqrt{104} = \sqrt{13} + \sqrt{4 \times 13} + \sqrt{8 \times 13} = \sqrt{13} + 2 \sqrt{13} + 2 \sqrt{2 \times 13} = 3 \sqrt{13} + 2 \sqrt{2} \times \sqrt{13} = \sqrt{13} (3 + 2 \sqrt{2} )$