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# What is a square root?

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A square root is the result of "unsquaring" a number, or the reversal of the process of squaring. The root is, as its name implies, a squared number reduced to its most basic form.

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A square is just a number multiplied by itself. For example, "4 squared" is equal to 4 x 4, or 16. Square roots are the same function, only inverted: the square root of 16 is 4. In this sense, square roots are analogous to subtraction and division. Root numbers represented by whole numbers are considered to be perfect squares. Nonperfect square roots can only be rendered in irrational numbers, or numbers with an ongoing decimal remainder. Nonperfect squares are usually written as approximations.

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## Related Questions

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The square root of 289 is 17. The number 289 is a perfect square, as 17 times 17 is 289. The square of a negative number is a positive number, and this means that -17 times -17 also equals 289. Hence, -17 is also the square root of 289.

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The square root of 400 is 20. The number 400 is a perfect square, as 20 x 20 gives 400. If a number is a perfect square, it has an exact square root otherwise its square root is a decimal fraction.

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The square root of 156 is 12.4899959968. When a person multiplies the number 12.4899959968 by itself, the answer results in 156.