| The square of a number is obtained by
multiplying that number by itself.

Example 1
Find the square of :
a. 2
b. 4
c. 6
Solution:


This shows that:
The square of any real number is positive.
Example 2
Find the value of:
Solution:

In general:

Properties of Squares
Consider the squares of numbers greater than 1.
Clearly, the squared value of a number greater than 1 is much greater
than the number being squared.

In general:
Consider the squares of fractional numbers, i.e. the numbers that are
between 0 and 1.

Clearly, the squared value of a fractional number is much less than the
number being squared.

In general:
Key Terms
square number, properties
of squares |