1. Square Numbers and Square Roots

2. Square numbers are called square numbers
because you can make a square out of
that number of smaller squares.
I can make a large square out of 9
small squares like this:

3. But I can’t make a larger square out of
10 small squares, however hard I try!

4. Multiplying a number by itself gives you
a square number.
So 2 x 2 = 4 and 3 x 3 = 9.
4 and 9 are square numbers.

5. What are the square numbers of these multiplications?
1 x 1 =
2 x 2 =

6. 3 x 3 =
4 x 4 =

7. 5 x 5 =
6 x 6 =

8. 7 x 7 =
8 x 8 =

9. 9 x 9 =

10. 10 x 10 =

11. The square root of a number is the factor that when multiplied by itself gives the square number.
So if 8 x 8 = 64 then the square root of 64 = 8
We write this as:
8² = 64
and
√64 = 8