Question

Упростите выражения :

Answer 1

$\frac{10 \sqrt{21}* \sqrt{15} }{ \sqrt{70} } * \sqrt{2} = \frac{10 \sqrt{21*15*2} }{ \sqrt{70} }= \frac{10 \sqrt{630} }{ \sqrt{70} }=\frac{10 \sqrt{9*70} }{ \sqrt{70} }=\frac{10 *3\sqrt{70} }{ \sqrt{70} }=30$

$\frac{ \sqrt{32} *5 \sqrt{6} }{ \sqrt{3} } = \frac{ \sqrt{32} *5 \sqrt{3*2} }{ \sqrt{3} } = \frac{\sqrt{32} *5 \sqrt{3} * \sqrt{2} }{ \sqrt{3} } = \sqrt{32} * \sqrt{2} *5=$

$= \sqrt{32*2} *5= \sqrt{64} *5=8*5=40$