Below is an outline of the steps of the proof that is irrat…
Questions
Belоw is аn оutline оf the steps of the proof thаt is irrаtional. Put the steps in the outline in the correct order. (a) Since d2 is even, d is even. (b) Squaring both sides of the equation =n/d leads to n2 = 2d2. (c) Since n is even, and n2 = 2d2, d2 is also even. (d) Then can be written as the ratio n/d of two integers n and d ≠ 0, such that n and d have no common factors. (e) Since n and d are both even, n and d are both divisible by 2. (f) This a contradiction as n and d have a common factor. Therefore must be irrational. (g) Since n2 is even, n is also even. (h) Suppose that is rational. Proof: Step 1 [Step1]; Step 2 [Step2]; Step 3 [Step3]; Step 4 [Step4]; Step 5 [Step5]; Step 6 [Step6]; Step 7 [Step7]; Step 8 [Step8]
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