# Square of number

In this chapter we will learn the concept of square number with properties and examples.

## What is square number ?

When we multiply the number by itself we get square of that number.

Let ” a ” be the number.

Now multiplying the number by itself, we get;

\mathtt{\Longrightarrow \ a\ \times \ a\ }\\\ \\ \mathtt{\Longrightarrow \ ( a)^{2}}

Hence, \mathtt{( a)^{2}} is the square of the given number.

### Examples of square of number

Given below are squares of randomly selected numbers.

(i) Square of number 3

To get square of number 3, multiply the number by itself.

\mathtt{\Longrightarrow \ 3\ \times \ 3\ }\\\ \\ \mathtt{\Longrightarrow \ 9}

Hence, 9 is the square of number 3.

(ii) Square of number 7

To get the square, multiply number 7 two times.

\mathtt{\Longrightarrow \ 7\ \times \ 7\ }\\\ \\ \mathtt{\Longrightarrow \ 49}

Hence, 49 is the square of number 7.

(iii) Square of number 12

To get square of 12, multiply the number by itself.

\mathtt{\Longrightarrow \ 12\ \times \ 12}\\\ \\ \mathtt{\Longrightarrow \ 144}

Hence, 144 is the square of number 12.

### How to represent square of number ?

The square of number is represented by showing exponent 2 on the given number.

For example;

Square is 6 ⟹ \mathtt{6^{2}}

Square is 13 ⟹ \mathtt{13^{2}}

## Representing square of number graphically

When we multiply the same number twice, we are basically forming shape of square with same sides.

For example;

(i) Square of 5

To get the square, multiply the number twice.

\mathtt{\Longrightarrow \ 5\ \times \ 5}\\\ \\ \mathtt{\Longrightarrow \ 25}

Graphically, we are forming a square with side equal to 5 units.

Inside the square, we can plot 25 squares of 1 unit each.

(ii) Square of 2

To get the square, multiply the number by itself.

\mathtt{\Longrightarrow \ 2\ \times \ 2}\\\ \\ \mathtt{\Longrightarrow \ 4}

Here we get the square of side 2 unit.

Inside the square, we can plot 4 squares of 1 unit each.

## List of Square of numbers from 1 to 100

Given below are square of numbers from 1 to 100 along with the calculation.

In order to score well in math exams, you need to remember the squares of numbers 50.