Prove or disprove the following statements: a) If both x2 and x3 are rational, then so is...

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Prove or disprove the following statements:

a) If both x2 and x3 are rational, then sois x.

b) If both x2 and x3 are irrational, thenso is x.

c) If both x+y and xy are rational, then so are x and y.

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