Question: Problem 2. Let / be a nonsquare integer. (a) For this part, you may use the fact that v N is irrational. Show that if

Problem 2. Let / be a nonsquare integer. (a) For this

Problem 2. Let / be a nonsquare integer. (a) For this part, you may use the fact that v N is irrational. Show that if an - VNb1 = 2 - VNb2 for integers a1, b1, 02, b2, then a1 = a2 and bj = by. (b) Use part (a) to show the following: if (x3, 93, 1) is the composition of (21, 91, 1) and (12, 92, 1), then 3 and y3 could also be defined to be the integers such that (1 - VNyl)(x2 - VNy2) = 13 - VNy3

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