Question

You answer CORRECTLY you brainliest

Answer 1

Step-by-step explanation:

$\frac{5}{ \sqrt{3} - \sqrt{5} } = \frac{5}{ \sqrt{3} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} } \\ = \frac{5 \sqrt{3} + 5 \sqrt{5} }{( { \sqrt{3} }^{2}) - ( { \sqrt{5} }^{2}) } \\ = \frac{5 \sqrt{3} + 5 \sqrt{5} }{3 - 5} \\ = \frac{5 \sqrt{3} + 5 \sqrt{ 5 } }{- 2} \\ = \frac{5 \sqrt{3} }{ - 2} + \frac{5 \sqrt{5} }{ - 2} \\ = \frac{ - 5 \sqrt{3} }{2} + \frac{ - 5 \sqrt{5} }{2}$

I hope this helps you