Question

Please Find answer.....

Answer 1

Hello Mate!

$x = \frac{1}{ \sqrt{5} - 2 } \times \frac{ \sqrt{5} + 2 }{ \sqrt{5} + 2} \\ = \frac{ \sqrt{5} + 2 }{5 - 4} = \sqrt{5} + 2 \\ {x}^{2} = {( \sqrt{5} + 2)}^{2} \\ = 5 + 4 + 4 \sqrt{5} = 9 + 4 \sqrt{5} \\ \frac{1}{ {x}^{2} } = \frac{1}{9 + 4 \sqrt{5} } \times \frac{9 - 4 \sqrt{5} }{9 - 4 \sqrt{5} } \\ = \frac{9 - 4 \sqrt{5} }{81 - 80} = 9 - 4 \sqrt{5} \\ 9 + 4 \sqrt{5} - ( 9 - 4 \sqrt{5} ) \\ = 8 \sqrt{5}$
Hope it helps☺!✌