Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces the concepts of cube and square roots, using a birdhouse example to explain how to calculate cube roots. It covers perfect cubes, provides examples, and demonstrates how to find cube roots through practical applications. The lesson concludes with a review and practice problems to reinforce understanding.

What is the volume of Leah's birdhouse?

• 125 cubic inches

• 216 cubic inches

• 64 cubic inches

• 100 cubic inches

If a cube has a volume of 27 cubic inches, what is the length of each side?

• 4 inches

• 3 inches

• 2 inches

• 5 inches

Which of the following numbers is a perfect cube?

• 30

• 16

• 27

• 20

What is the cube root of 64?

• 5

• 3

• 2

• 4

What is the cube root of 216?

• 5

• 6

• 7

• 8

What operation is the inverse of cubing a number?

• Squaring

• Square root

• Cube root

• Multiplication

Can other dimensions give a volume of 216 cubic inches for a cube?

• Yes, but they must be different

• No, it is impossible

• No, only one set of dimensions

• Yes, multiple sets of dimensions

What is the length of each edge of a cube with a volume of 64 cubic feet?

• 5 feet

• 2 feet

• 3 feet

• 4 feet

What is the square root of 100?

• 8

• 11

• 9

• 10

What is the cube root of 8?

• 3

• 2

• 1

• 4