Square root

The graph of the function f(x) = √x, made up of half a parabola with a vertical directrix.

First leaf of the complex square rootSecond leaf of the complex square rootUsing the Riemann surface of the square root, it is shown how the two leaves fit together

In mathematics, a square root of a number a is a number y such that y = a, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, 4 and −4 are square roots of 16 because 4 = (−4) = 16.

Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted √9 = 3, because 3 = 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.

单词	Square root symbol
释义	Square root symbol 英语百科 Square root In mathematics, a square root of a number a is a number y such that y = a, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, 4 and −4 are square roots of 16 because 4 = (−4) = 16. Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted √9 = 3, because 3 = 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.
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Square root symbol

Square root