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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
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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.