Is the square root of 14 rational?

1 Answer
George C.
Sep 30, 2015

No, sqrt(14) = sqrt(2*7) is irrational for the same reasons that sqrt(15) is irrational.

Explanation:

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

See my proof for sqrt(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.

Related questions
See all questions in Square Roots and Irrational Numbers
Impact of this question
10515 views around the world
You can reuse this answer
Creative Commons License