Mathematics
Mathematics, 11.09.2019 02:20, maevemboucher78

Write ach rational number in the form a/b where the integers 5 1/6

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Mathematics, 13.07.2019 03:30, Weser17
Fill in the blanks of the following proof by contradicition that 7 + 4āˆš2 is an irrational number. (you may use the fact that āˆš2 is irrational.) proof: suppose not. that is suppose that 7 + 4āˆš2 is (i) by definition of rational, 7 + 4āˆš2 = a/b, where (ii) multiplying both sides by b gives 7b + 4bāˆš2 = a so if we subtract 7b from both sides we have 4bāˆš2 = (iii) dividing both sides by 4b gives āˆš2 = (iv) but then āˆš2 would be rational number because (v) this contradicts our knowlegde that āˆš2 is irrational. hence the supposition is false and the given statement is true. a. (i). rational (ii). a and b are integers and b cannot equal 0 (iii). a+7b (iv). (a+7b)/4b (v). both a-7b and 4b are integers (since products and differences of interger are integers) and so āˆš2 would be a rational number. b. (i). irrational (ii). a and b are integers and b cannot equal 0 (iii). a-7b (iv). (a-7b)/4b (v). both a-7b and 4b are integers (since products and differences of interger are integers) and so āˆš2 would be a irrational number. c. (i). irrational (ii). a and b are integers and b cannot equal 0 (iii). a-7b ( a-7b)/4b (v). both a-7b and 4b are integers (since products and differences of interger are integers) and so āˆš2 would be a rational number. d. b. (i). rational (ii). a and b are integers and b cannot equal 0 (iii). a-7b ( a-7b)/4b (v). both a-7b and 4b are integers (since products and differences of interger are integers) and so āˆš2 would be a rational number.
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