Question

Сократите дробь $\frac{17+2\sqrt{30} }{\sqrt{15}+\sqrt{2} }$

Answer 1

(17+2√30)/(√15+√2)=(√15+√2)²/(√15+√2)=(√15+√2)

Answer 2

$\frac{17+2\sqrt{30}}{\sqrt{\sqrt{15}+\sqrt{2}}}=\frac{15+2\sqrt{30}+2}{\sqrt{15} +\sqrt{2} } =\frac{(\sqrt{15})^{2}+2\sqrt{15}*\sqrt{2}+(\sqrt{2})^{2}}{\sqrt{15}+\sqrt{2}}=\frac{(\sqrt{15}+\sqrt{2})^{2}}{\sqrt{15}+\sqrt{2}}=\sqrt{15}+\sqrt{2}$