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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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The square root of 4,000 is 63.24. That value can be obtained by using the radical function on either a scientific or graphing calculator. The square root of 4,000 can also be written as 20 times the square root of 10.

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The square root of 1 is 1, just as the square of 1 is 1. The square root of a number finds a result that, when multiplied by itself, equals the original number.

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The square root of 109 is 10.44. The square root is expressed through the formula x times x equals y, where x is the square root of y. Plugging the number 109 into the equation results in 10.44 times 10.44 equals 109.