Square Roots, Cube Roots and Estimating

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

Tags

CCSS.8.NS.A.2

When looking out over a large body of water, an observer can calculate the distance to the horizon by using the formula, d=√1.5h where d is the distance to the horizon (in miles), and h is the height above sea level of the observer’s eye (in feet). The height of the observer’s eye is 9 feet above sea level. Between which two values is the distance to the horizon?

• between 0 and 1 miles
• between 3 and 4 miles
• between 6 and 7 miles
• between 13 and 14 miles

A square room has an area of 150 square feet. Which of the following numbers is closest to the length of a side of the room?

• 12 ¹/₅ feet
• 12 ¹/₄ feet
• 12 ³/₁₀ feet
• 12 ¹/₂ feet

Tags

CCSS.8.NS.A.2

Which of the following is closest to the value of √11?

• 3
• 3.2
• 3.3
• 3.4

Tags

CCSS.8.NS.A.2

A cube has a volume of 800 cubic units. The length of the edge of this cube is between which two numbers?

• 9 and 10 units
• 11 and 12 units
• 20 and 21 units
• 28 and 29 units

Tags

CCSS.8.EE.A.2

Which number best approximates the value of x? (Click the question to see the answer choices)

• √6
• √7
• √46
• √52

Tags

CCSS.8.NS.A.2

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

Tags

CCSS.8.EE.A.2

The √136 is between which two numbers?

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

Tags

CCSS.8.NS.A.2

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

Tags

CCSS.8.NS.A.2