Question

пожалуйста решите:
решите √7* √28+ √50 / √288=?

Answer 1

$\sqrt{7} * \sqrt{28} + \frac{ \sqrt{50} }{ \sqrt{288} } = \sqrt{7} * \sqrt{4*7} + \frac{ \sqrt{25*2} }{ \sqrt{2*144} } = \sqrt{7} * \sqrt{ 2^{2}*7 } + \frac{ \sqrt{ 5^{2} *2} }{ \sqrt{ 12^{2} *2} } =$
$= \sqrt{7} *2 \sqrt{7} + \frac{ 5\sqrt{2} }{12 \sqrt{2} } =2*( \sqrt{7} )^{2} + \frac{5}{12} =2*7+ \frac{5}{12} =14+ \frac{5}{12} =14 \frac{5}{12}$