Perfect Square

Definition of Perfect Square

• Perfect square is a number that has a rational number as its square root.

           

Examples of Perfect Square

• 49 is a perfect square as .
• The following are few more examples of perfect squares.

              

More about Perfect Square

• Perfect Square trinomial: Trinomials of the form , which can be expressed as squares of binomials are called perfect square trinomials.
•  is a perfect square trinomial as it can be written as .                                                                                                                  

Solved Example on Perfect Square

Find the least positive number that should be subtracted to make 10 a perfect square.

Choices:

A. 1

B. 4

C. 0

D. 3

Correct Answer: A

Solution:

Step 1: 10 - 1 = 9

Step 2: 9 is a perfect square.

Step 3: So, 1 should be subtracted from 10 to make it a perfect square.

                                        

Related Terms for Perfect Square

• Rational Number

                             

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