Question

If x=5-√3/5+√3 and y=5+√3/5-√3 show that x^2-y^2=-10√3/11

Answer 1

Hey dear here is your answer



We have :  x = 5 − 3√5 + 3√ , So

x = 5 − 3√5 + 3√×5 − 3√5 − 3√ = 25 − 53√ − 5 3√ + 325 − 53√ + 5 3√ − 3= 28 − 103√22= 2(14 − 53√)22 = 14 − 53√11

And

y = 5 + 3√5 − 3√ , So

y = 5 + 3√5 − 3√×5 + 3√5 + 3√ = 

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Answer 2

answer is in photo...