Re: Rational and irrational numbers

Correction and modification:

Given situations:

sqrt(a) + sqrt(b) = u^k (1); sqrt(a) - sqrt(b) = v^k (2)
uv is an integer, odd k > 5, both a and b are nonsquare integers > 0.

Assertion: u and v must be of the form (3) and (4) where
u = A*sqrt(g) + B*sqrt(h) (3); v = A*sqrt(g) - B*sqrt(h) (4)
g, h are nonsquare integers and A, B are integers > 0.

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