Perfect Squares and Square Roots Challenge

This video tutorial reviews perfect squares and square roots, starting with an introduction to exponents and their role in forming perfect squares. It includes instructions for drawing squares to visualize areas and explains the concept of square roots, addressing common misconceptions. The lesson concludes with a geometric interpretation of square roots, preparing students for the Pythagorean theorem.

What does the exponent in a power tell the base number to do?

• Add itself repeatedly

• Subtract itself repeatedly

• Multiply itself a specified number of times

• Divide itself repeatedly

How many times do you multiply the base by itself when the exponent is 2?

• Two times

• Three times

• Four times

• One time

What shape is formed when a number is multiplied by itself (squared)?

• Rectangle

• Square

• Circle

• Triangle

What is the result of 4 squared?

• 8

• 4

• 16

• 12

What is the area of a square with side length 6?

• 12

• 36

• 18

• 30

What is the area of a square with side length 3?

• 3

• 12

• 9

• 6

What is the square root of 49?

• 25

• 7

• 14

• 49

Which of the following is NOT a correct representation of a square root?

• The square root of 25 is 5

• The square root of 36 is 6

• The square root of 100 is 10

• The square root of 16 is 8

What is the square root of 121?

• 10

• 13

• 12

• 11

If a square has an area of 25, what is the length of one side?

• 5

• 10

• 25

• 6