Estimating Square Roots

Level 3: Estimate the square root.

• Between 4 and 5 and closer to 5

• Between 5 and 6 and closer to 6

• Between -4 and -5 and closer to -5

• Between -5 and -6 and closer to -6

Level 3: Estimate the square root.

• Between 3 and 4 and closer to 3

• Between 2 and 3 and closer to 3

• Between 3 and 4 and closer to 4

• Between 2 and 3 and closer to 2

Identify the letter that best estimates the following square root on the following number line.

√156

• d

• b

• c

• e

Between which two whole numbers is the 
√20 ?

• 5 and 6

• 10 and 2

• 4 and 5

• 3 and 4

d

e

4

7

6

5

8

3

The √27 is between ​ (a)   and ​ (b)   .​

• 5

• 6

• 4

• 7

• 3

The √12 is between ​ (a)   and ​ (b)   .

• 3

• 4

• 2

• 5

• 6

Find the best estimate for √18 .
Look at the number line.

• 4.2

• 4.4

• 5.1

• 4

In between what two integers is the square root of 77?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

In between what two integers is the square root of 44?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7