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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