Estimating Square Roots and Perfect Squares

The video tutorial introduces square roots, explaining the concept of squaring numbers and perfect squares. It covers how to estimate non-perfect squares using a number line and demonstrates the use of calculators for finding square roots. Practical examples and exercises are provided to reinforce understanding.

What operation is the inverse of finding a square root?

• Squaring a number

• Dividing by two

• Subtracting from the original number

• Finding the cube root

If the area of a square is 16, what is the length of one side?

• 2

• 6

• 4

• 8

Which of the following is a perfect square?

• 20

• 15

• 16

• 18

How would you estimate the square root of 78?

• Exactly 8

• Between 7 and 8, closer to 8

• Between 9 and 10

• Between 8 and 9, closer to 9

What is the approximate square root of 150?

• 11.8

• 13.5

• 14.1

• 12.2

Which point on the number line best represents the square root of 76?

• Point C

• Point B

• Point D

• Point A

What is the side length of a square pool with an area of 169 square feet?

• 14 feet

• 13 feet

• 15 feet

• 12 feet

How do you ensure that the operation after a square root is not included under the radical when using a calculator?

• Use the multiplication key

• Use the arrow key to move out

• Press the equal sign

• None of the above

What is the result of the expression 'square root of 100 minus 11'?

• -1

• 9

• 10

• None of the above

To the nearest hundredth, what is the result of 'square root of 33 divided by 3'?

• 1.75

• 2.05

• 1.91

• 2.10