Question

If x = root 5 + root 3 / root 5 - root 3 and y = root 5 - root 3 / root 5 + root 3, then the value of x^2 +xy +y^2 is
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Answer 1

Answer:

${x}^{2} + xy + {y}^{2} = \sqrt{5} + \sqrt{3} + \sqrt{5} \\ = 5 + \sqrt{3}$

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Answer 2

root 5

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