# Mathematics Questions and Answers – Estimating Square Roots

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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

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

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

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) 3
d) 4

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

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.

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

To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers. 