Is the square root of 14 rational?

1 Answer
George C.
Sep 30, 2015

No, √14=√2⋅7 is irrational for the same reasons that √15 is irrational.

Explanation:

http://socratic.org/questions/how-do-you-prove-that-square-root-15-is-irrational

See my proof for √15.

If the radicand (the expression under the square root sign) only has perfect square factors then the square root is rational. Otherwise it will be irrational.

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