We say it is a two by two square. We find the number of squares inside by multiplying the length by the height.

So 2 X 2 = 4. Instead of
writing 2 X 2 we could write **2 ^{2}**.
This means 2 times by itself. (We say two squared).

**
**

**The next square number is 9.
(Do you know why?)**

To make a square of 9 we have
to multiply 3 by itself or write 3 X 3 or **3 ^{2.}(**we
say three squared)

Here is a drawing of **3 ^{2}**
(Three squared)

Look how many small squares it contains (9).

So
we have seen that both 4 and 9 are square numbers We found these by: multiplying
2 by 2 to get 4 or **2 ^{2}** =4

Multiplying
3 by 3 to get 9 or **3 ^{2}** =9

(You will see this again in finding Areas)

Answer
= 1 because 1 x 1 = 1 or 1^{2} =1

Remember each square number must form a square

Can
you find the the square numbers up to 100?

**4 ^{2}**
=

**4 ^{2}**
=16

**9 ^{2}**
=81

How
did you do?

Remember
and learn to recognise the square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81,100

The
numbers that you have to multiply to get the square numbers are called the
square root.

This
is the sign for the square root √.

For example the square root of 100 is 10 written as √100 = 10

Can
you find the square roots of the following numbers?

√81
= √49
= √4 =
√64 =
√36 =

√16
= √1
= √25
=

Which
one did I miss out?

√81
=**9**
√49 =**7**
√4 = **2**
√64 = **8**
√36 = **6**

√16
= **4**
√1 = **1**
√25 = **5**

Which
one did I miss out?

√9
= **3**

To
finish, to multiply a number by itself, means to square it.

The
opposite (or the **inverse**) of squaring
a number is to find its square root.

Well
that wasn't too hard was it?

Good
luck