It’s easy to find the squares of the numbers. You have to multiply the number against itself to get its square. Mathematicians have found few methods to find the square root of the number given. Now it is easy to find the square root of 11 and other numbers using square root formulas and long division method.
Square Root of 11, √11 = 3.31662479036
To find the square root of any number, you should know what are squares and how to find the square of any number.
| Related Links | |
| Square Root of 4 | Square Root of 5 |
| Square Root of 9 | Square Root of 10 |
What is the Square of a number?
If we multiply an integer by itself, the product we get is the square of the number.
For example 3 x 3 = 9, so the square of 3 is 9.
Following are a few more examples to see how squares are formed.
Table of Squares of Numbers
| Digit | Multiply by itself | Square | ||
| 1 | 1 | x | 1 | 1 |
| 2 | 2 | x | 2 | 4 |
| 3 | 3 | x | 3 | 9 |
| 4 | 4 | x | 4 | 16 |
| 5 | 5 | x | 5 | 25 |
| 6 | 6 | x | 6 | 36 |
| 7 | 7 | x | 7 | 49 |
| 8 | 8 | x | 8 | 64 |
| 9 | 9 | x | 9 | 81 |
| 10 | 10 | x | 10 | 100 |
| 11 | 11 | x | 11 | 121 |
Square of a number can be represented in many ways.
For example, if you want to find a square of 4;
You can say, 16 is a square of 4 or squaring of 4 is 16 or 4 squared is 16 or 16 is a square number or 16 is a perfect square of 4.
Square roots
Finding square roots of any number, like the square root of 2 is exactly opposite to calculating squares.
| Number | Square Root | ||||
| 1 | x | 1 | = | 1 | 1 |
| 2 | x | 2 | = | 4 | 2 |
| 3 | x | 3 | = | 9 | 3 |
| 4 | x | 4 | = | 16 | 4 |
| 5 | x | 5 | = | 25 | 5 |
| 6 | x | 6 | = | 36 | 6 |
| 7 | x | 7 | = | 49 | 7 |
| 8 | x | 8 | = | 64 | 8 |
| 9 | x | 9 | = | 81 | 9 |
| 10 | x | 10 | = | 100 | 10 |
| 11 | x | 11 | = | 121 | 11 |
What is the square root of 11?
A square root is represented by a symbol: ‘√’.
- The square root of a number is a number a such that b² = a, in Maths, or a number b whose square is a. Example, 3 and -3 are square roots of 9 because 3² = (-3)² = 9.
Square Root of 11 by Long Division Method
To find the square root of 11, use the long division method to get the approximate value.
Therefore, √11 = 3.31662479036.
Video Lessons on Square Roots
Visualising square roots
Finding Square roots
Register at BYJU’S to learn other interesting mathematical concepts.
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