Estimating square roots
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  • Introduction
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In this worksheet, we will learn how to estimate square roots.


Method

We know the square numbers from 12 to 122
i.e.,  1= 1, 2= 4, 3= 9 etc.


We can estimate the square roots of numbers between the square numbers.

√7 is between √4 and √9  ie. 2 and 3.


So √7 is approximately 2.6  (7 is nearer to 9 than to 4)

√59 is between √49 and √64 between 7 and 8.


approximately 7.7 (nearer to 8).

  • Question 1
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Select an approximate value for the following square root.

 

√104 = _________

8.1

10.2

11.2

9.2

  • Question 2
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Select an approximate value for the following square root.

 

√85 = _________

9.2

10.2

5.5

10.8

  • Question 3
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Select an approximate value for the following square root.

 

√57 = _________

6.5

7.5

7.1

6.6

  • Question 4
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Select an approximate value for the following square root.

 

√123= _________

11.4

12.2

11.1

10.5

  • Question 5
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Select an approximate value for the following square root.

 

√15 = _________

3.9

4.5

3.1

3.3

  • Question 6
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Select an approximate value for the following square root.

 

√122 = _________

11.1

9.9

11.0

10.9

  • Question 7
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Select an approximate value for the following square root.

 

√35 = _________

5.9

6

6.5

5.2

  • Question 8
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Select an approximate value for the following square root.

 

√36.1 = _________

5.9

6.0

6.1

5.2

  • Question 9
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Select an approximate value for the following square root.

 

√33 = _________

5.2

6

6.5

5.7

  • Question 10
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Select an approximate value for the following square root.

 

√92 = _________

9.3

9.6

9.8

9.9

Progress