Exploring Square Roots and Cube Roots

The video tutorial covers the concepts of perfect squares, square roots, and cube roots. It begins with an introduction to perfect squares, explaining how to fill in a table of perfect squares up to 256. The tutorial then moves on to square roots, discussing how to find them using a calculator and providing examples, including handling negative numbers. The video also introduces irrational numbers and their role in the real number system. Finally, the tutorial covers cube roots, explaining perfect cubes and providing examples of finding cube roots, including those with negative numbers.

What is a perfect square?

• A number that is the square of a whole number

• A number that is the cube of a whole number

• A number that is a fraction

• A number that is irrational

What is the perfect square of 5?

• 15

• 10

• 20

• 25

What is the square root of 81?

• 7

• 8

• 9

• 10

Where is the square root button located on a TI-34 calculator?

• Above the number 5

• Above the number 7

• Above the number 3

• Above the number 9

What are irrational numbers?

• Numbers that can be written as fractions

• Numbers that cannot be written as fractions

• Numbers that are perfect squares

• Numbers that are whole numbers

What is the square root of 196?

• 13

• 12

• 15

• 14

What does the plus or minus sign in front of a square root indicate?

• Both positive and negative answers

• Only negative answers

• Only positive answers

• No answer

What is a perfect cube?

• A number that is the square of a whole number

• A number that is the cube of a whole number

• A number that is irrational

• A number that is a fraction

What is the cube root of 64?

• 5

• 4

• 3

• 2

What is the cube root of 27?

• 4

• 5

• 3

• 2