This set of Mathematics 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

Answer: b

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.

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

Answer: a

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.

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

Answer: a

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.

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.

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

a) 1

b) 2

c) 3

d) 4

View Answer

Answer: a

Explanation: Here we have two options which have prime numbers. The others are ruled out, and out of two there is only one prime number which is a perfect square. Therefore the correct answer would be 1 and the others are incorrect.

Explanation: Here we have two options which have prime numbers. The others are ruled out, and out of two there is only one prime number which is a perfect square. Therefore the correct answer would be 1 and the others are incorrect.

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

Answer: a

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.

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.

Check this: Class 10 Mathematics MCQs | Class 9 Mathematics MCQs

**Sanfoundry Global Education & Learning Series – Mathematics – Class 8**.

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