if X equal to root 2 + 1 divided by root 2 minus 1 and Y equal to root 2 minus 1 divided by root 2 + 1 show that X square + xy + Y square equal to 35
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Answer:
We have:
on rationalizing the denominator we have:
Similarly we are given:
Now,
we are asked to find the value of the expression:
(
since,
)
so,
since, the same term but with opposite signs are cancelled out.
Hence, the value of the expression:
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