The document shows a table with numbers from 0 to 20 in the x column. The x2 column contains the square of each number in the x column. Taking the square root of each number in the x2 column results in the original number from the x column. Squaring a number is calculating the area of a square with that number as its side length. Taking the square root means finding the side length of a square with the given area.

1. Squares and square roots
x
0 0 0 0
1 1 1 1
2 4 2 2
3 9 3 3
4 16 4 4
5 25 5 5
6 36 6 6
7 49 7 7
8 64 8 8
9 81 9 9
10 100 10 10
11 121 11 11
12 144 12 12
13 169 13 13
14 196 14 14
15 225 15 15
16 256 16 16
17 289 17 17
18 324 18 18
19 361 19 19
20 400 20 20
x2
√x2
√x2
Row 4
Row 6
Row 8
Row 10
Row 12
Row 14
Row 16
Row 18
Row 20
Row 22
Row 24
0
50
100
150
200
250
300
350
400
450
Squares
Column B
x
xsquared
Multiplying a number by itself is called
"squaring" because this is the calculation to fi
the area of a square of given side length.
"Square rooting" means finding the root of the
square. i.e. the side(root) of the square with a
given area
See the Diagram

2. 12
ow 14
Row 16
Row 18
Row 20
Row 22
Row 24
ares
Column B
x
er by itself is called
this is the calculation to find
e of given side length.
eans finding the root of the
(root) of the square with a

3. a
a
x
A= axa=a2
a=√A √A
√A