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Does a square root need to be a whole number?

Updated: 8/19/2019
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11y ago

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No, it does not; it could be a fraction (or, what amounts to the same thing, a repeating decimal), a negative number (in fact every strictly positive number has 2 square roots, one positive, one negative, such as the square roots of 25 are 5 and -5), an irrational number (like the square root of 2), or an imaginary number (like the square root of -49).

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11y ago
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Q: Does a square root need to be a whole number?
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Is the square root 16 a whole number or the opposite of a whole number?

The square root of 16 is 4 which is a whole number.


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The square root of 15 is not a whole number.


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A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.


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Negative the square root of 36 is -6, which is a whole number.


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What is the square root of 48 in whole numbers?

48 is not a square number, so the square root of 48 is irrational and can not be represented as a whole number.


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If the whole number is a perfect square, its square root is rational. If not, it's not.


Can a square root be a whole number?

Yes. The square of a whole number is always a whole number. For example, 3 squared is 9, so the square root of 9 is 3. What you never have, is the square root of a whole number being a fraction that is not a whole number. The square root of a whole number is either a whole number or an irrational number. For example, the square root of 2 is irrational, because there are no 2 whole numbers a and b such that a/b squared is 2. This is not terribly difficult to prove, but I have already said too much; I have answered your question.


How do you now if a number is a square number?

if its square root is a whole number