Question

please answer 10 th question its urgent please ​

Answer 1

Answer:

$\frac{ \sqrt{5} - 2}{ \sqrt{5} + 2 } - \frac{ \sqrt{5} + 2 }{ \sqrt{5} - 2} = a + b \sqrt{5} \\ \frac{( \sqrt{5} - 2)( \sqrt{5} - 2)}{ (\sqrt{5} + 2)( \sqrt{5} - 2) } - \frac{( \sqrt{5} + 2)( \sqrt{5} + 2) }{ (\sqrt{5} - 2)( \sqrt{5} + 2) } \\ \frac{ { (\sqrt{5} - 2)}^{2} }{ { \sqrt{5} }^{2} - { \sqrt{2} }^{2} } - \frac{ { (\sqrt{5} + 2) }^{2} }{ { \sqrt{5} }^{2} - {2}^{2} } \\ \frac{5 + 4 - 4 \sqrt{5} }{5 - 4} - \frac{5 + 4 + 4 \sqrt{5} }{5 - 4} \\ 9 - 4 \sqrt{5} - 9 - 4 \sqrt{5} \\ - 8\sqrt{5} \\ a = 0 \: \: and \: \: \: b = - 8$