√3-√2 3+2
5.) Prove that the sum of
and
is a rational number.
√3+√2 13-12
1; +hodonam
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As p and q are integers RHS is also rational.
As RHS is rational LHS is also rational i.e
5
is rational.
But this contradicts the fact that
5
is irrational.
This contradiction arose because of our false assumption.
so,
3 +5
irrational
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