Question

root 3 + root 5 / 2 root 5 minus 3 root 3​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{5} - 3 \sqrt{3} } = \frac{( \sqrt{3} + \sqrt{5} )}{( \sqrt{5} - 3 \sqrt{3} } \times \frac{ \sqrt{5} + 3 \sqrt{3} }{ \sqrt{5} + 3 \sqrt{3} } = \frac{ \sqrt{15} + 9 + 5 + 3 \sqrt{15} }{5 - 27} = \frac{14 + 4 \sqrt{15} }{ - 22} = \frac{ - 14 - 4 \sqrt{15} }{22}$