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# 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 =12 2 2 x 2 =4 = 22 3 3 x 3= 9 = 32 4 4 x 4 = 16 = 42 5 5 x 5 =25 =52

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 22 = 2 x 2 2 3 32 =3 x 3 9 4 42 = 4 x 4 16 5 52 = 5 x 5 25 6 62 = 6 x 6 36 7 72 = 7 x 7 49 8 82 = 8 x 8 64 9 92 = 9 x 9 81 10 102 = 10 x 10 100 11 112 = 11 x 11 121 12 122 = 12 x 12 144 13 132 = 13 x 13 169 14 142 = 14 x 14 196 15 152 = 15 x 15 225 16 162 = 16 x 16 256 17 172 = 17 x 17 289 18 182 = 18 x 18 324 19 192 = 19 x 19 361 20 202 = 20 x 20 400

## Square of Negative Numbers

You can also calculate square negative numbers. Here are the example given below.

#### Solution:

(-7)2 =  (−7) × (−7) = 49

Note: When you find square a negative number, then you archive a positive solution.

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