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# What is the square root of 64?

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The number 64 has two square roots: -8 and 8. This is because 8 squared, or 8 times 8, is 64, and -8 squared, or -8 times -8, is also 64. Its principal square root is 8.

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Credit: Marcin Wichary CC-BY 2.0

Every positive number has two square roots, one positive and one negative. However, each positive number has only one principal square root. When people use the phrase "the square root," they often mean "the principal square root." The principal square root is non-negative. Sixty-four is also a square number. This means that it is an integer that is a square of an integer, in this case, 8.

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## Related Questions

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In order to calculate the square root of a non-perfect square number, first find two perfect squares between which the number lies. Second, divide the number by one of the two square roots. Thirdly, take the average of the result and the root to discover the answer.

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Rational or fractional exponents are another way of notating that some root of a base number should be taken, without using a radical sign. For instance, 16^1/2 is equivalent to taking the square root of 16, and 27^1/3 is equivalent to taking the cube root of 27.

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Find the square root by finding the number that, when multiplied by itself, gives you the root number. For root numbers that are not perfect squares, there is a separate process to finding the square root.