Question

Упростите выражение по-братски

Answer 1

$\frac{2\sqrt{70}-2\sqrt{28}}{2\sqrt{35}-3\sqrt{14}}=\frac{2\cdot \sqrt{2\cdot 35}-2\cdot \sqrt{2\cdot 14}}{2\sqrt{5\cdot 7}-3\sqrt{2\cdot 7}}=\frac{2\sqrt2\cdot (\sqrt{35}-\sqrt{14})}{\sqrt7\cdot \sqrt2\cdot (\sqrt2\cdot \sqrt5-3)}=\\\\=\frac{2\cdot \sqrt7\cdot (\sqrt5-\sqrt2)}{\sqrt7\cdot (\sqrt{10}-3)}=\frac{2\cdot (\sqrt5-\sqrt2)}{\sqrt{10}-3}$