Question

Упростите выражение по-братски

Answer 1

$frac{2sqrt{70}-2sqrt{28}}{2sqrt{35}-3sqrt{14}}=frac{2cdot sqrt{2cdot 35}-2cdot sqrt{2cdot 14}}{2sqrt{5cdot 7}-3sqrt{2cdot 7}}=frac{2sqrt2cdot (sqrt{35}-sqrt{14})}{sqrt7cdot sqrt2cdot (sqrt2cdot sqrt5-3)}=\\=frac{2cdot sqrt7cdot (sqrt5-sqrt2)}{sqrt7cdot (sqrt{10}-3)}=frac{2cdot (sqrt5-sqrt2)}{sqrt{10}-3}$