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Is the square root of 14 rational?

Answer 1

Eva Adamson

No, the square root of 14 is irrational.

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Answer 2

Avery Alexander

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

How can one demonstrate that the square root of 15 is irrational?

See my proof for #sqrt(15)#.

The square root is rational if and only if the expression under the square root sign, or radicand, contains only perfect square factors; otherwise, it is irrational.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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