Estimating and Comparing Square Roots

 $Which\ point\ best\ approximates\ \sqrt{45\ }$  

• A

• B

• C

• D

 $Which\ two\ numbers\ does\ \sqrt{61}lie\ between\ on\ a\ number\ line?$  

• 7.7 and 7.8

• 7.8 and 7.9

• 7.9 and 8.0

• 8.0 and 8.1

 $\sqrt{52}$  

Which two numbers does the above square root lie between on a number line? 

• 7.0 and 7.1

• 7.1 and 7.2

• 7.2 and 7.3

• 7.3 and 7.4

 $\sqrt{128}$  

Which two numbers does the above square root lie on a number line?

• 11.0 and 11.1

• 11.2 and 11.3

• 11.3 and 11.4

• 11.4 and 11.5

 $Which\ point\ best\ approxmates\ \sqrt{3}$  

• A

• B

• C

• D

 $\sqrt{47}$  

What is the best estimate to the nearest tenth?

• 6.8

• 6.9

• 7.0

• 7.1

Which number is farthest from 2 on the number line?

• $\sqrt{2.1}$

• $\sqrt{2.4}$

• $\sqrt{2.5}$

• $\sqrt{2.9}$

What square root best approximates the point on the graph?

• $\sqrt{5}$

• $\sqrt{15}$

• $\sqrt{28}$

• $\sqrt{53}$

What whole number best approximates the value of x?

• 100

• 102

• 103

• 104

Which statements are true? Select the two correct answers.

• The square root of a positive number greater than 1 is less than the number.

• The square root of a positive number is always less than half of the number itself.

• The square root of a positive number less than 1 is less than the number.

• The square root of a perfect square is not a whole number.

• The square root of a positive number less than 1 is between 0 and 1.