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 49 = 72.
  • The following are few more examples of perfect squares. 

         

More about Perfect Square

  • Perfect Square trinomial: Trinomials of the form a2 ± 2ab + b2, which can be expressed as squares of binomials are called perfect square trinomials.
  • x2 + 4x + 4 is a perfect square trinomial as it can be written as (x + 2)2.

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