Question

√5-√3 / 5+√3 + √5+√3 / √5-√3​

Answer 1

Answer:

The answer is in the picture given

Answer 2

The answer will be $- 7$

STEP-BY-STEP EXPLANATION :

$\frac{ \sqrt{5} - 3 }{ \sqrt{5} + 3 } + \frac{ \sqrt{5} + 3 }{ \sqrt{5} - 3}$

$\frac{( \sqrt{5} - 3)( \sqrt{5} - 3) }{( \sqrt{5} + 3)( \sqrt{5} - 3) } + \frac{ (\sqrt{5} + 3)(\sqrt{5} + 3)}{(\sqrt{5} - 3)( \sqrt{5} + 3)}$

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

$\frac{ (\sqrt{5})^{2} - 2 \times \sqrt{5} \times 3 + ( {3})^{2} }{5 - 9} + \frac{ (\sqrt{5})^{2} + 2 \times \sqrt{5} \times 3 + ( {3})^{2} }{5 - 9}$

$\frac{5 + 9 - 6 \sqrt{5} }{ - 4} + \frac{5 + 9 + 6 \sqrt{5} }{ - 4}$

$\frac{5 + 9 - 6 \sqrt{5} +5 + 9 + 6 \sqrt{5} }{ - 4}$

$\frac{14 + 14}{- 4}$

$\frac{28}{ - 4}$

$- 7$