Estimating the Value of Irrational Square Roots

What is an irrational number?

• A number that can be written as a fraction

• A number with a repeating decimal pattern

• A number that cannot be written as a fraction

• A number that does not have a decimal

Which of the following is an example of an irrational number?

• 0.333...

• Square root of 2

• Square root of 4

• 2/5

How can we estimate the square root of 10?

• Multiplying 2 and 5

• Assuming it's 10

• Comparing with square roots of 9 and 16

• Using a calculator only

What is a good estimate for the square root of 10?

• Exactly 3.5

• Between 4 and 5

• Less than 3

• 3.1 or 3.2

When estimating the square root of 38, why do we count up to 49?

• Random selection

• Because 49 is a perfect square

• To make calculation easier

• Because 38 is too small

What is the square root of 36?

• 6

• 5

• 7

• 8

What would be a reasonable estimate for the square root of 38?

• 6.1 or 6.2

• Exactly 6.5

• 7 or higher

• Less than 6

Why is the square root of 5 estimated closer to 2 than to 3?

• Because 5 is closer to 4 than to 9

• Because 2 is a smaller number

• Random estimation

• Because 5 is exactly halfway between 4 and 9

What is encouraged to do if the material is confusing?

• Ignore the confusion

• Rewatch the video and write down questions

• Skip to the next section

• Guess the answers

What does the wavy equal sign next to the square root of 24 signify?

• Not equal at all

• Approximately equal

• Greater than or equal to

• Exactly equal