Estimating Square and Cube Roots

The ∛24 is closest to which point on the number line?

• A
• B
• C
• D

A square tile has an area of 75 square inches. Which is the best estimate for the length of one side of the tile?

• between 6 and 8 inches
• between 8 and 10 inches
• between 37 and 50 inches
• between 64 and 81 inches

The √136 is between which two numbers?

• 9 and 10
• 10 and 11
• 11 and 12
• 12 and 13

Given that the square root of 225 is 15 and the square root of 256 is 16, which number is closest to the square root of 240?

• 15.1
• 15.5
• 158
• 15.9

The value of √154 is located between which two consecutive whole numbers?

• 77 and 78
• 38 and 39
• 15 and 16
• 12 and 13

Which value below is the greatest?

• √10
• ⁸/₃
• √3
• ¹¹/₁₂

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

• P
• Q
• R
• S

Which value is closest to ∛100?

• 3
• 4.5
• 10
• 33.5

Which of the following shows the numbers arranged from least to greatest? (Click the question to see the picture)

• A
• B
• C
• D

Which expression is closest to the sum of the square root of 62 and the square root of 95?

• 7+9
• 7+10
• 8+9
• 8+10