Class 8 Maths – Chapter 6
Squares and Square Roots
NCERT Questions & Answers

Q1. Find the square of 12.

Answer:

Square of a number = number × number
12 × 12 = 144

Q2. Write the first five square numbers.

Answer:

1² = 1
2² = 4
3² = 9
4² = 16
5² = 25

Q3. Find the square root of 81.

Answer:

9 × 9 = 81
∴ √81 = 9

Q4. Find √144 using prime factorisation.

Answer:

144 = 2 × 2 × 2 × 2 × 3 × 3
= (2×2) × (2×2) × (3×3)

√144 = 2 × 2 × 3 = 12

Q5. Is 50 a perfect square? Give reason.

Answer:

Prime factorisation of 50:
50 = 2 × 5 × 5

Since all factors are not in pairs, 50 is not a perfect square.

Q6. Find the smallest number by which 180 must be multiplied to make it a perfect square.

Answer:

180 = 2 × 2 × 3 × 3 × 5

Unpaired factor = 5
Required number = 5

Q7. Find √100.

Answer:

10 × 10 = 100
∴ √100 = 10

⭐ Exam Writing Tips

• Write steps neatly
• Always show factorisation
• Underline final answer

📘 Prepared by Shaktimatha Learning | Class 8 Maths