# Square Root Symbol

The square root symbol or square root sign is a mathematical symbol, denoted by â€˜âˆšâ€™. This symbol is known as radical, in words. In Maths, you may have learned about different kinds of symbols, which are used to perform arithmetic operations. The root symbol (âˆš ) is used to represent the square root of any number.

For example, the square root of 2 is represented by âˆš2. Similarly, for other natural numbers, such as 5, 6, 7, 8, 10, etc. we can denote the square roots for them as âˆš5, âˆš6, âˆš7, âˆš8, and âˆš10, respectively. This symbol always denotes the positive square root.

Radicand: The symbol for square root is called radical whereas the number present under the root is called the radicand. Hence, in the above-specified examples, 2, 5, 6, 7, 8, 10 are the radicands.

Basically square root is used to find the number which when multiplied by itself gives the original number, present under the root. Let us understand it by an example. If we multiply 3 by 3, then we get 9, such as 3 x 3 = 9. Now, if we take the root of 9, âˆš9, it will be again equal to 3, i.e. âˆš9 = 3.

## Root Symbol (in Word)

The square root symbol in words is said to be a â€˜radicalâ€™. Or we can say a radical symbol (âˆš ) is used to represent the square root of any natural number.

Square root formula: The formula to find the square root is:

y = âˆša

Or

y2 = a

Basically we use the prime factorisation method to find the square root of any number.

Example: 100 = 2 x 2 x 5 x 5

We can see here two pairs of 2 and 5.

âˆš100 = âˆš(2 x 2 x 5 x 5)

By taking out the numbers in pairs, we get:

âˆš100 = 2 x 5 = 10

Recheck: If âˆš100 = 10, then 10 multiplied by 10 should give 100.

Hence, 10 x 10 = 100

Another method to find the square root is by using long division method. This method is used when we cannot apply prime factorisation for large numbers or the number under the root symbol is imperfect square.

List of Square Roots:

Below is the list of the square roots of some numbers which students can use to solve the problems based on it.

 Number Square Root(âˆš) 1 1 2 1.414 3 1.732 4 2.000 5 2.236 6 2.449 7 2.646 8 2.828 9 3 10 3.162 11 3.317 12 3.464 13 3.606 14 3.742 15 3.873