The square root of a natural number is a value, which can be written in the form of y = √a. It means ‘y’ is equal to the square root of a, where ‘a’ is any natural number. We can also express it as y² = a. Thus, it is concluded here that square root is a value which when multiplied by itself gives the original number, i.e. a = y × y. Example: 4 × 4 =16, and the square root of 16 is 4.

Symbol of square root: The symbol or sign to represent a square root is ‘√’. This symbol is also called a radical. Also, the number under the root is called a radicand.

Square root examples:

• 2 × 2 = 4 & √4 = 2
• 3 × 3 = 9 & √9 = 3
• 5 × 5 = 25 & √25 = 5
• 6 × 6 = 36 & √36 = 6

In the above examples, it was easy to find the square root, since all the numbers are perfect squares here. But for imperfect squares, we do not get their square root as a natural number, instead, it will be a fraction.

Example: Square root of 2, √2 = 1.414

To find square root there are two main methods, which you can read in the below-given link:

• Square Root by Prime Factorization
• Square Root by Long Division Method

Square Root Lists

In the below table, we have listed the square root of numbers from 1 to 50. These values will help students to solve problems based on square roots.

Video Lesson