Finding the square of numbers is easy. You have to multiply the number against itself to get its square. Mathematicians have invented some methods of finding the square root of a given number. Now finding the square root of 11 and other numbers is easy with square root formula and long division method.
Square root of 11, = 3.31662479036
To find the square root of any number, you must know what squares are and how to find the square of any number.
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.
Below are some more examples to see how the squares are formed.
table of squares of numbers
numbers | multiply by itself | Social class | ||
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 |
1 1 | 1 1 | x | 1 1 | 121 |
The square of a number can be represented in many ways.
For example, if you want to square 4;
You can say, 16 is the square of 4 or the square of 4 is 16 or 4 is the square of 16 or 16 is a square number or 16 is a perfect square of 4.
square root
Finding the square root of any number, such as the square root of 2, is the exact opposite of computing 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 |
1 1 | x | 1 1 | , | 121 | 1 1 |
What is the square root of 11?
A square root is represented by a symbol: ‘ ‘.
- The square root of a number is a number such that in mathematics b² = a, 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.