Squares and Square Roots (8 Mathematics)
Understand perfect squares, square roots, and their properties. Learn estimation techniques and applications in geometry.
TL;DR: Understand perfect squares, square roots, and their properties. Learn estimation techniques and applications in geometry.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Understand perfect squares, square roots, and their properties. Learn estimation techniques and applications in geometry.
Squares and Square Roots MCQs with Answers & Explanations
Q1. What is a perfect square?
- A number divisible by 2
- The product of an integer with itself ✓ (correct)
- Any even number
- A number greater than 100
Q2. Which of the following is a perfect square?
- 50
- 64 ✓ (correct)
- 80
- 90
Q3. What is √49?
- 7 ✓ (correct)
- 49
- 24.5
- 14
Q4. What is the square of 12?
- 24
- 144 ✓ (correct)
- 120
- 6
Q5. Simplify √16 + √9
- 5
- 7 ✓ (correct)
- 25
- 12
Q6. Is √50 a rational or irrational number?
- Rational
- Irrational ✓ (correct)
- Both
- Neither
Q7. What is the value of √(100/25)?
- 2 ✓ (correct)
- 4
- 5
- 10
Q8. Estimate √85 (without calculator)
- 8
- 9
- 9.2 ✓ (correct)
- 10
Q9. What is (-8)²?
- -64
- 64 ✓ (correct)
- -16
- 16
Q10. What is the difference between √64 and ∛64?
- Both are same
- √64 = 8, ∛64 = 4 ✓ (correct)
- √64 = 4, ∛64 = 8
- √64 is irrational
Frequently Asked Questions
How can I estimate square roots of non-perfect squares?
Find the nearest perfect squares on both sides. For √85: since 81 < 85 < 100, we know 9 < √85 < 10. Then refine by checking values between 9 and 10.
Why is the square of a negative number positive?
Because we multiply the negative number by itself: (-5) × (-5) = positive 25. Negative times negative always equals positive.
More 8 Mathematics MCQs
- Coordinate Geometry
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Probability (Case Study)
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