This set of Class 8 Maths Chapter 6 Multiple Choice Questions & Answers (MCQs) focuses on “Estimating Square Roots”.

1. What would be the square root of 901.23?

a) 30

b) 30.02

c) 30.5

d) 31

View Answer

Explanation: We can observe that the number 901.23 is very close to the square of number 30 which is 900. Here we can estimate that the square root of 901.23 is very close to 900 and hence its square root would be closer to the square root of 900 i.e. 30. Therefore we can conclude that the answer would be 30.02.

2. Estimate the square root of 15.

a) 3.98

b) 4.58

c) 5.63

d) 6.67

View Answer

Explanation: When we need to estimate a square root we can find the perfect square numbers. So the perfect squares near the number 15 are 9 & 16. Since the number is close to 16 the square root would be above 0.5. Therefore the correct answer would be 3.98 and the others would be incorrect.

3. _____ is the estimated square root of 123.

a) 11.03

b) 11.59

c) 11.99

d) 11.51

View Answer

Explanation: When we need to estimate a square root we can find the perfect square numbers. So the perfect squares near the number 123 are 121 & 144. Since the number is close to 121 the square root would be below 0.5. Therefore the correct answer would be 11.03 and the others would be incorrect.

4. Which of the following is a prime square number?

a) 1

b) 2

c) 4

d) None of the mentioned

View Answer

Explanation: 1 is neither a prime nor a composite number. Over here, 2 is the only prime number, however, 2 is not the perfect square of any number. 4 is a perfect square number, but it is not a prime number. Hence, none of the mentioned numbers are prime square numbers.

5. What is the square root of 962 ?

a) 31 < x < 32

b) 31 > x > 32

c) 13 < x < 23

d) 13 > x > 23

View Answer

Explanation: Since the number lie between the square of 31 & 32 i.e. 961 & 1024 the square root of 962 lies between 31 & 32. Hence the correct answer would be 31 < x < 32 and the others are incorrect.

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