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.
Quick Summary
- A perfect square results from squaring a whole number.
- The square root of a perfect square is a whole number.
🍎 Teacher Insights
Use visual aids like square tiles to demonstrate perfect squares.🎓 Prerequisites
- Squares
- Square Roots
- Rational Numbers
Check Your Knowledge
Q1: Which of the following is a perfect square?
Q2: What is the square root of 49?
Frequently Asked Questions
Q: Is 0 a perfect square?
A: Yes, because 0 x 0 = 0.
Q: Are all positive integers perfect squares?
A: No, only numbers that can be obtained by squaring an integer are perfect squares. For example, 2, 3, 5, 6, 7, 8 are not perfect squares.