Is 6 to the square root rational or irrational

The square root of 6 cannot be rational

Step-by-step explanation:

a/b = square root of 6. But this last statement means the RHS (right hand side) is even, because it is a product of integers and one of those integers (at least) is even. ... Then our initial assumption must be false, so the square root of 6 cannot be rational. There you have it: a rational proof of irrationality.

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step-by-step explanation: