Question

please tell the answer with explanation......​

Answer 1

⏩⏩▶◀ Your Añswer⏪⏪◀▶

Step-by-step explanation:

$x = \frac{1}{3 - \sqrt{5} } \times \frac{3 + \sqrt{5} }{3 + \sqrt{5} }$

$x = \frac{3 + \sqrt{5} }{4} and \frac{1}{x} = \sqrt{3} - \sqrt{5}$

$( \times \ + \frac{1}{ \sqrt{ {x} ^{2} } } ) = x + \frac{1}{x} + 2 \\ \\ \: \: \: = \frac{3 + \sqrt{5} }{4} + 3 - \sqrt{5} + 2$

$= \frac{3 + \sqrt{5 } + 12 - 4 \sqrt{5} + 8}{4}$

$( \frac{23 - 3 \sqrt{5} }{4} ) {}^{2} = \frac{46 - 6 \sqrt{5} }{8} = \frac{45 + 1 - 6 \sqrt{5} }{8}$

$(\frac{3 \sqrt{5} - 1) {}^{2} }{ \sqrt{8} } ) = \frac{3 \sqrt{5} - 1}{ 2 \sqrt{2} }$