8th Class Mathematics Squares and Square Roots Square of a Number

         Square of a Number

The square of a number is the product of the number with itself. Thus for a given number 'a', \[{{a}^{2}}=a\times a\].

Thus to find the square of a number, we have to multiply the number with itself.  

            Perfect Square of a Number

A natural number is said to be its perfect square, if it can be written as the square of the factors of natural number. Some of the numbers which are perfect squares are:

Squares From \[{{1}^{2}}\] TO \[{{9}^{2}}\]  

1 Squared   =     \[{{1}^{2}}\]        =    \[\text{1}\times \text{1}\]                               = 1

2 Squared   =     \[{{2}^{2}}\]        =   \[2\times 2\]                                = 4

3 Squared   =     \[{{3}^{2}}\]        =   \[3\times 3\]                                = 9

4 Squared   =     \[{{4}^{2}}\]        =   \[4\times 4\]                                = 16

5 Squared   =     \[{{5}^{2}}\]        =   \[5\times 5\]                                = 25

6 Squared   =     \[{{6}^{2}}\]        =   \[6\times 6\]                                = 36

7 Squared   =     \[{{7}^{2}}\]        =   \[7\times 7\]                                = 49

8 Squared   =     \[{{8}^{2}}\]        =    \[8\times 8\]                               = 64

9 Squared   =     \[{{9}^{2}}\]        =    \[9\times 9\]                               = 81  

The perfect squares are the squares of the whole numbers.