Question

Simplify:. 2+√7/√5+√3​

Answer 1

Answer:

2+√7/√5+√3

2+5.91+√3

7.91+√3

9.64

please mark as a brainliest answer

Answer 2

Step-by-step explanation:

$\frac{2 + \sqrt{7} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{(2 + \sqrt{7}) }{( \sqrt{5} + \sqrt{3} )} \times \frac{( \sqrt{5} - \sqrt{3} )}{( \sqrt{5} - \sqrt{3} )} \\ = \frac{2 \sqrt{5} - 2 \sqrt{3} + \sqrt{35} - \sqrt{21} }{ {( \sqrt{5})}^{2} - {( \sqrt{3}) }^{2} } \\ = \frac{2 \sqrt{5} - 2 \sqrt{3} + \sqrt{35} - \sqrt{21}}{5 - 3} \\ = \frac{2 \sqrt{5} - 2 \sqrt{3} + \sqrt{35} - \sqrt{21}}{2}$