Squares & Square Roots
Squares are a simple form of exponents. The square of
a number is the number multiplied by itself, for example:
4 × 4 = 16
It is also
written as:
The square
root of a number is the inverse of the square.
Thus,
, because 4 × 4 =16
Also, note that
, because (–4) × (–4) =16
We write
(
means + and –)
For SAT, the
College Board recommends that you know the squares of integers up to 12:
|
x
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
|
x2
|
1
|
4
|
9
|
16
|
25
|
36
|
49
|
64
|
81
|
100
|
121
|
144
|
And also the
square roots:
|
x
|
1
|
4
|
9
|
16
|
25
|
36
|
49
|
64
|
81
|
100
|
121
|
144
|
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
The following video shows how to simplify the square root of a perfect square and the square root of a number that is not a perfect square.
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