Squares and Square Roots
You know that the area of a square = side x side. Learn the below given table.
Side of a square(cm) | area of a square(in cm ^{2}) |
1 | 1 x 1 =1 =1^{2} |
2 | 2 x 2 =4 = 2^{2} |
3 | 3 x 3= 9 = 3^{2} |
4 | 4 x 4 = 16 = 4^{2} |
5 | 5 x 5 =25 =5^{2} |
What is unique about the number 4, 9, 25, and other such numbers?
Since 9 can be represented as 3 x 3= 32 ,
25 can be represented as 5 x 5 = 52 , all such numbers can be expressed as the product of the number with itself.
Such numbers like 4, 9, 25 … are known as a square number.
Therefore, If a natural number m can be expressed as n ^{2}, where n is also a natural number, then m is a square number. There are various ways to find the area of a triangle.
How to Square A Number?
To Square a number = product of the number with itself
Square Numbers From 1 to 20
Number | Square | |
1 | 1 ^{2} = 1 x 1 | 1 |
2 | 2^{2 }= 2 x 2 | 2 |
3 | 3^{2} =3 x 3 | 9 |
4 | 4^{2} = 4 x 4 | 16 |
5 | 5^{2} = 5 x 5 | 25 |
6 | 6^{2} = 6 x 6 | 36 |
7 | 7^{2} = 7 x 7 | 49 |
8 | 8^{2} = 8 x 8 | 64 |
9 | 9^{2} = 9 x 9 | 81 |
10 | 10^{2} = 10 x 10 | 100 |
11 | 11^{2} = 11 x 11 | 121 |
12 | 12^{2} = 12 x 12 | 144 |
13 | 13^{2} = 13 x 13 | 169 |
14 | 14^{2} = 14 x 14 | 196 |
15 | 15^{2} = 15 x 15 | 225 |
16 | 16^{2} = 16 x 16 | 256 |
17 | 17^{2} = 17 x 17 | 289 |
18 | 18^{2} = 18 x 18 | 324 |
19 | 19^{2} = 19 x 19 | 361 |
20 | 20^{2} = 20 x 20 | 400 |
Square of Negative Numbers
You can also calculate square negative numbers. Here are the example given below.
Example: What is the square of (−7) ?
Solution:
(-7)^{2 }= (−7) × (−7) = 49
Note: When you find square a negative number, then you archive a positive solution.