MAD 2104 Sagher HW

74. HW. Prove that the product of rational numbers is a rational number. a C = ac bd 75. HW. Prove that if x. is a rational number that is not 0, then + is a rational number that is not 0. 76. HW. Prove that the product of a rational number that is not 0. and an irrational number is an irrational number. Assume that x. is an irrational number. and consider integers a, b. so that. b # 0. and a # 0, and so that ~ x. is a rational number.. Then there exist integers, c, d with d + 0.so that