**SQUARES and SQUARE ROOT**

#### Firstly We learn about the square of a number before learning Squares and square root.

## SQUARE OF A NUMBER-- If we multiply a Number by itself then the resulting product is the square of the Number.

**Example(1)- **

Let we have a number 2 and we want to find the square of 2.

We multiply 2 by itself 2 then we get 2 X 2 = 4 (4 is the resulting product)

So, square of 2 is 4.

Square of 2 is represented as 2^{2}.

2^{2} is called- "two to the power two" or "Two raised to the power two".

**Example (2)-**

Now, Let we have a number 23.

Then Square of 23 = 23 X 23 = 529 (529 is resulting product).

So, square of 23 is 529.

Square of 23 is represented as 23^{2}.

23^{2} is called "twenty three to the power two" or "Twenty Three raised to the power two".

### Here is the List of Square Numbers from 1 to 25 (Learn it well)

PERFECT SQUARE NUMBER OR SQUARE NUMBER- A natural number is called a perfect square number or square number if it is the square of some natural number.

**Examples-**

1) 9 is the square of 3, so 9 is a perfect square number.

2) 144 is the square of 12, so 144 is a perfect square number.

**SQUARE ROOT OF A NUMBER**

**Basically Square root is the reverse process of Square.**

**Square of 5 is 25, Square root of 25 is 5**

**Symbol of Square root-**

√ This symbol is the symbol of Square root.

Square root of 100 = = 10.

Here square of 10 is 100 so 10 is the square root of 100.

but

Square of -10 is what?

Square of -10 = (-10)^{2 }= (-10) X (-10) = 100.

Important Result-

**Square root of 100 could be +10 or -10.****But when radical symbol √ is used then give only positive(or zero) result.**

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In this topic we will increase our understanding of squares, square roots, and will will learn about ways of finding them.