Exploring Square and Cube Roots

This video tutorial covers rational square and cube roots, starting with warm-up problems and moving into detailed explanations of square and cube roots, including solving equations and using calculators. It also includes practice problems and a summary of perfect squares and cubes.

What is the length of a square cornfield with an area of 36 square yards?

• 5 yards

• 8 yards

• 6 yards

• 7 yards

What is the side length of a cube with a volume of 125 cubic meters?

• 7 meters

• 6 meters

• 5 meters

• 4 meters

What is the result of squaring the number 4?

• 16

• 12

• 8

• 20

Which of the following is a perfect square?

• 20

• 25

• 30

• 35

What is the cube root of 27?

• 2

• 3

• 4

• 5

Why can't you take the square root of a negative number?

• It results in a complex number

• It results in an undefined number

• It results in zero

• It results in a positive number

What is the square root of 64?

• 6

• 7

• 9

• 8

What is the cube root of -125?

• -4

• -3

• -6

• -5

What is the simplified form of the square root of 9/25?

• 4/5

• 2/3

• 1/2

• 3/5

What is the 12th perfect square?

• 144

• 169

• 121

• 196