# Estimating And Approximating Square Root! Math Trivia Quiz

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Questions: 9 | Attempts: 753

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Welcome to this math trivia quiz on estimating and approximating square root! There are a lot of students who have a difficult time when it comes to solving problems such as square roots and in this quiz, you will be tasked with figuring out the square root of different numbers. Do give it a shot and see how well you will do.

• 1.

### The square root of 34 falls between 3 and 4.

• A.

True

• B.

False

B. False
Explanation
The square root of 34 does not fall between 3 and 4. The square root of 34 is approximately 5.83, which is greater than 4. Therefore, the statement is false.

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• 2.

### The square root of 45 falls between which two whole consecutive numbers?

• A.

4 and 5

• B.

44 and 46

• C.

6 and 7

• D.

6 and 5

• E.

8 and 9

C. 6 and 7
Explanation
The square root of 45 is between 6 and 7 because 6 squared is 36 and 7 squared is 49. Since 45 is greater than 36 and less than 49, the square root of 45 must be between 6 and 7.

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• 3.

• A.

9

• B.

81

• C.

10

• D.

85

D. 85
• 4.

### The square root of 56 falls between which two whole consecutive numbers on the number line?

7 and 8
Explanation
The square root of 56 is a number that, when multiplied by itself, equals 56. Since the square root of 49 is 7 and the square root of 64 is 8, the square root of 56 falls between these two whole consecutive numbers on the number line.

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• 5.

### Name a number whose square root would fall between 2 and 3 on the number line.

5, 6, 7, 8
Explanation
The numbers 5, 6, 7, and 8 all have square roots that fall between 2 and 3 on the number line. The square root of 5 is approximately 2.236, the square root of 6 is approximately 2.449, the square root of 7 is approximately 2.646, and the square root of 8 is approximately 2.828.

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• 6.

### The square root 120 falls between which two whole consecutive numbers?

10 and 11
Explanation
The square root of 120 is a number that, when multiplied by itself, equals 120. Since 10 multiplied by 10 is 100 and 11 multiplied by 11 is 121, the square root of 120 must be between 10 and 11.

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• 7.

### The square root of 3 falls between which two whole consecutive numbers on the number line?

1 and 2
Explanation
The square root of 3 is approximately 1.73. Since it is between 1 and 2, the correct answer is 1 and 2.

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• 8.

### The square root of 26 falls between which two whole consecutve numbers.

5 and 6
Explanation
The square root of 26 is approximately 5.1. Since 5 is the largest whole number that is less than 5.1 and 6 is the smallest whole number that is greater than 5.1, the square root of 26 falls between 5 and 6.

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• 9.

### The square root of 70 falls between which two whole consecutive numbers.

8 and 9
Explanation
The square root of 70 is a number that, when multiplied by itself, equals 70. Since 8 multiplied by 8 is 64 and 9 multiplied by 9 is 81, the square root of 70 falls between 8 and 9.

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• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Mar 14, 2019
Quiz Created by
Blrobinson

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