Exploring Perfect Squares and Cube Roots

The video tutorial covers the concepts of perfect squares, square roots, non-perfect squares, perfect cubes, and cube roots. It explains the inverse relationship between squaring and square roots, and cubing and cube roots. The tutorial includes practice problems and estimation techniques for non-perfect squares. It also highlights the unique properties of cube roots, emphasizing that each integer has only one cube root.

What is a perfect square?

• A number that can be divided by 2

• A number that results from multiplying an integer by itself

• A number that is a multiple of 10

• A number that is a prime number

What is the square root of 49?

• 6

• 7

• 8

• 9

What is the square root of 16?

• 2

• 3

• 4

• 5

Which of the following is a perfect square?

• 20

• 15

• 30

• 25

Which of the following is a non-perfect square?

• 9

• 10

• 4

• 16

Estimate the square root of 10.

• 2.5

• 3.16

• 3.5

• 4.1

What is the cube root of 64?

• 5

• 2

• 3

• 4

Which of the following numbers is a perfect cube?

• 14

• 8

• 10

• 12

What is the cube root of 343?

• 5

• 8

• 6

• 7

What is the cube root of -8?

• -2

• -1

• -4

• -3