Squares & Square Roots
More Lessons for Arithmetic
Math Worksheets
What are squares and 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
, because (4) × (4) =16We write
(
means + and -)
It would be helpful 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 |
To square a fraction, multiply the numerator by itself and do the same for the denominator.
Example:
Take note that if a positive fraction which is less than 1 is squared, the result is always smaller than the original fraction.
Perfect squares are numbers that we get when we square an integer.
We can think of square root as the opposite or inverse of squaring.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.