8. In the next section we prove that the square root of an integer m is rational...

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8. In the next section we prove that the square root of an integer m is rational if and only if m = k2 for some kEN. Assume that this result is true.

(a) Prove that vn + 3 + Vii is rational for some n E N if and only if n = 1.

(b) Find all n E N such that vn + 7 + Vii is rational.

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