Question: Let R be the statement: The square root of any irrational number is rational. Recall that a number r is rational if there exist integers

Let R be the statement: The square root of any irrational number is rational. Recall that a number r is rational if there exist integers a and b such that r = a b . A number r is irrational if there does not exist such integers a and b.

(a) Write the negation of R.

(b) Prove R by assuming the negation of R and showing a contradiction.

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