Question: 5. For each of the statements below state whether it is True or False. If True then give a proof. If False then explain why,

5. For each of the statements below state whether it is

5. For each of the statements below state whether it is True or False. If True then give a proof. If False then explain why, e.g., by giving a counterexample. (a) The sum of the squares of any two rational numbers is a rational number (b) For all positive x R, if x is irrational then z is irrational. (c) For all z, yeR, if x and y are irrational then x2 + y is irrational. (d) log10(2) is irrational

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