Question

$\frac{ \sqrt{5} + \sqrt{3 } }{ \sqrt{5}- \sqrt{3} } + \sqrt{15}$
Помогите)

Answer 1

$\frac{ \sqrt{5} + \sqrt{3} }{\sqrt{5} - \sqrt{3}} + \sqrt{15}= \frac{ (\sqrt{5} + \sqrt{3})^2 }{(\sqrt{5} - \sqrt{3})(\sqrt{5} + \sqrt{3})}+ \sqrt{15}= \frac{8+ 2\sqrt{15} }{2}+ \sqrt{15}=4+2\sqrt{15}$

Answer 2

$\frac{ \sqrt{5}+ \sqrt{3} }{ \sqrt{5}- \sqrt{3} }+ \sqrt{15} = \frac{5+2 \sqrt{15}+3 }{5-3} + \sqrt{15} =4+ \sqrt{15}+ \sqrt{15}= \\ =4+2 \sqrt{15}$