Question

X=√5+√3/√5-√3 and y= √5-√3/√5+√3 find the value of x2+y2

Answer 1

$x = \frac{8 + 2\sqrt[2]{15} }{2} = 4 + \sqrt{15} \\ y = \frac{8 - 2 \sqrt{15} }{2} = 4 - \sqrt{15} \\ \\ {x}^{2} + {y}^{2} = 2(16 + 15) \\ = 2(31) = 62$

Answer 2

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