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\huge \bold \color{lime}{Solution:-}

\red{= \sf{\dfrac{\sqrt{\sqrt5 - 2} + \sqrt{\sqrt5 + 2}}{\sqrt{\sqrt5 + 1}}}} \\ {x}^{2} = \frac{ \sqrt{5} + 2 \sqrt{5} - 2 + 2 \sqrt{( \sqrt{5} + 2) \sqrt{5 } - 2 } }{ \sqrt{5} + 1 } \\ = \frac{2 \sqrt{5} + 2 \sqrt{5 - 4} }{ \sqrt{5} + 1} \\ = \frac{2 \sqrt{5} + 2 \sqrt{1} }{ \sqrt{5} + 1 } \\ = \frac{2( \sqrt{5} + 1 }{( \sqrt{5} + 1 } = 2 \\ \bold\green \implies \green{\: x = \sqrt{2} }

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