What is Square Root

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 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.

Number Square Root(√) Number Square Root(√) Number Square Root(√)
1 1 18 4.243 35 5.916
2 1.414 19 4.359 36 6
3 1.732 20 4.472 37 6.083
4 2.000 21 4.583 38 6.164
5 2.236 22 4.690 39 6.245
6 2.449 23 4.796 40 6.325
7 2.646 24 4.899 41 6.403
8 2.828 25 5 42 6.481
9 3 26 5.099 43 6.557
10 3.162 27 5.196 44 6.633
11 3.317 28 5.292 45 6.708
12 3.464 29 5.385 46 6.782
13 3.606 30 5.477 47 6.856
14 3.742 31 5.568 48 6.928
15 3.873 32 5.657 49 7
16 4 33 5.745 50 7.071
17 4.123 34 5.831

Video Lesson

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