• 212 a+b√2(a,b∈ℚ) ∉ ℚ
ᐥIf m/n and p/q are rationals, p≠0, then m/n+√2(p/q) is irrational.ᐥ Suppose that m/n+√2(p/q) is rational. Then the following can be written m/n+√2(p/q) = r/s where m, n, p, q, r and s are all integers, and n, q and s are non-zero. Rearranging the equati ...
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