Definitions for square root

This page provides all possible meanings and translations of the word square root

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  1. square root(noun)

    a number that when multiplied by itself equals a given number

WiktionaryRate this definition:(0.00 / 0 votes)

  1. square root(Noun)

    Of a number, another number which, when squared, yields the original number; sometimes constrained to be the positive number when two solutions exist.

FreebaseRate this definition:(0.00 / 0 votes)

  1. Square root

    In mathematics, a square root of a number a is a number y such that y² = a, or, in other words, a number y whose square is a. For example, 4 and −4 are square roots of 16 because 4² = ² = 16. Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted, because 3² = 3 × 3 = 9 and 3 is non-negative. The term whose root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this example 9. Every positive number a has two square roots:, which is positive, and, which is negative. Together, these two roots are denoted . Although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root. For positive a, the principal square root can also be written in exponent notation, as a1/2. Square roots of negative numbers can be discussed within the framework of complex numbers. More generally, square roots can be considered in any context in which a notion of "squaring" of some mathematical objects is defined


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