MathDB

1

Part of 1991 Federal Competition For Advanced Students

Problems(1)

old exercise

Source: Austria 1991

7/10/2009
Suppose that a,b, a,b, and \sqrt[3]{a}\plus{}\sqrt[3]{b} are rational numbers. Prove that a3 \sqrt[3]{a} and b3 \sqrt[3]{b} are also rational.
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