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# Square Root Mean in Math-Definition, Symbol, Formula

August 28, 2022 written by Azhar Ejaz

The square root of a number is the inverse method of squaring a number. The square of a number is the value that results when we multiply the number by itself, while the square root of a number is obtained by calculating a number that when squared gives the original number

Let, x is the square root of y, then it is denoted as x=√y or we can express the same equation as x2 = y. Here, ’ ’√’ is the radical symbol used to indicate the root of numbers. The positive number, when multiplied by itself, denotes the square of the number.

The square root of the square of a positive number gives the original number. In this article learn about the square roots and properties of square roots, and how to find square roots of numbers.

## What is square root?

The square root of any number is equal to a number, which when squared gives the original number. The square root of a number is the inverse method of squaring a number.

The square of a number is the value that results when we multiply the number by itself, while the square root of a number is obtained by calculating a number that when squared gives the original number

If ‘a’ is the square root of ‘b’, it means that a × a = b. The square of any number is always a positive number, so every number has two square roots, one of the values a positive, and the other of the values a negative.

Particular exponents are Squares and square roots.

For example, both 2 and -2 are square roots of 4. However, in most places, the only value of the positive is written as the square root of a number.

## Square Roots of Symbol

The square root symbol is usually represented as ‘√’. It is called a radical symbol. To represent a number ‘y’ as a square root using this symbol can be written as:

‘ √y ‘

Where y is the number, the number under the symbol of the radical is also said the radicand. For example, the square root of 6 is also denoted as a radical of 6. Both represent the same value.

## Square roots formula

The square root of a number has the exponent of 1/2. The square root formula is used to determine the square root of a number. We know the exponent formula:

n√x= x1/n. When n= 2, we said it was square root.

When n= 2, we also know its square root.

We can use any of the methods for calculating the square root, such as prime factorization, long division,

The formula used to determine the square root is: y = √a

The square root of a negative number shows a complex number.

Suppose √-n = i√n, where i is called the imaginary number.

For example: Find the square roots of 16

Solution:

√16=√2x2x2x2=√22x22=2×2=4

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