Question

]Упростите выражение : [tex] \frac{30\sqrt{6} }{\sqrt{10}*\sqrt{12} } [/tex

Answer 1

$\frac{30\sqrt{6} }{\sqrt{10}*\sqrt{12} } = \frac{30}{ \sqrt{10}* \sqrt{2} } = \frac{30}{ \sqrt{20} } = \frac{30}{2\sqrt{5} } = \frac{15}{ \sqrt{5} } = \frac{15 \sqrt{5} }{5} =3 \sqrt{5}$