Question

Question :-

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

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$\qquad \sf \dashrightarrow \: \bigg( \dfrac{1}{ \sqrt{7 + \sqrt{5} } } + \sqrt{7 + \sqrt{5} } \bigg) {}^{2}$

$\qquad \sf \dashrightarrow \: \bigg( \dfrac{1}{ \sqrt{7 + \sqrt{5} } } \bigg ) {}^{2} + \bigg( \sqrt{7 + \sqrt{5} } \bigg) {}^{2} + 2 \cdot \dfrac{1}{ \sqrt{7 + \sqrt{5} } } \cdot \sqrt{7 + \sqrt{5} }$

$\qquad \sf \dashrightarrow \: \dfrac{1}{7 + \sqrt{5} } + 7 + \sqrt{5} + 2$

$\qquad \sf \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5} }{7 + \sqrt{5} }$

$\qquad \sf \dashrightarrow \: \dfrac{68+ 16 \sqrt{5} }{7 + \sqrt{5} }$