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Square root

3:49

Introducing Square Root

2:52

How to Simplify the Square Root of a Non Square Number

3:03

Why is it called a SQUARE root?

3:48

Square root 1 to 30 | Cube root 1 to 30 Mathematics simple and easy square root cube root

3:40

Approximating a Square Root Without a Calculator

In mathematics, a square root of a number a is a number y such that y2 = 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 42 = (−4)2 = 16. Every nonnegative real number a has a unique nonnegative 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, which is denoted by √9 = 3, because 32 = 3 • 3 = 9 and 3 is nonnegative. The term (or number) whose square 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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    • History 

    • Properties and uses 

    • Square roots of positive integers 

    • Computation 

    • Square roots of negative and complex numbers 

    • Square roots of matrices and operators 

    • In integral domains, including fields 

    • In rings in general 

    • Geometric construction of the square root