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
    Examples of  Perfect Square.

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.

Video Examples: MS 8 Math Finding Perfect Square Roots


Solved Example on Perfect Square

Ques: 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.
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