Simplifying Cube Roots

This video tutorial covers the simplification of cube roots, starting with basic examples and progressing to more complex expressions. It explains how to handle negative numbers and non-perfect cubes, using perfect cubes for simplification. The video also includes practice problems to reinforce learning and concludes with a summary of key concepts.

What is the cube root of 8?

• 1

• 4

• 3

• 2

Which number is the cube root of -27?

• -3

• 3

• 9

• -9

How can you express the cube root of 125?

• 6

• 5

• 4

• 3

What is the simplified form of the cube root of 16?

• 2 times the cube root of 2

• 4 times the cube root of 2

• 8 times the cube root of 2

• 16 times the cube root of 2

Which perfect cube divides 375 to simplify its cube root?

• 8

• 125

• 27

• 64

What is the cube root of 108 simplified to?

• 3 times the cube root of 4

• 4 times the cube root of 3

• 2 times the cube root of 3

• 3 times the cube root of 2

How do you simplify the cube root of 2000?

• 15 times the cube root of 2

• 20 times the cube root of 2

• 5 times the cube root of 2

• 10 times the cube root of 2

What is the simplified form of 3 times the cube root of -432?

• -18 times the cube root of 2

• -12 times the cube root of 2

• -24 times the cube root of 2

• -6 times the cube root of 2

How do you express the cube root of 1024?

• -50 times the cube root of 2

• -30 times the cube root of 2

• -20 times the cube root of 2

• -40 times the cube root of 2

What is the final simplified form of the expression involving cube roots of 81, 24, and 192?

• 7 times the cube root of 3

• 6 times the cube root of 3

• 5 times the cube root of 3

• 4 times the cube root of 3