Mathematics Hope Cup of Grade Two in Junior High School

Divide by ab

1/b+√2+ 1/a=√2/ab

(a+b)/ab=√2(ab- 1)/ab

a+b=√2(ab- 1)

There are irrational numbers on the edge of the equation. If both A and B are rational numbers, the equation will never hold, and B is rational, then A must be irrational.

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