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

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5. For each of the statements below state whether it is True or False. If True then give a proof. I False then explain why, e.9., by giving a count (a) The sum of the squares of any two rational numbers is a rational number. (b) For all positive z eR, if r is irrational then vr is irrational. (c) For all z, yeR, if x and y are irrational then 2.2 + y s irrational. (d) log1o(2) is irrational. 5. For each of the statements below state whether it is True or False. If True then give a proof. I False then explain why, e.9., by giving a count (a) The sum of the squares of any two rational numbers is a rational number. (b) For all positive z eR, if r is irrational then vr is irrational. (c) For all z, yeR, if x and y are irrational then 2.2 + y s irrational. (d) log1o(2) is irrational

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