Estimating Square Roots Challenge

This video tutorial teaches how to estimate square roots, focusing on both perfect and non-perfect squares. It explains the concept of irrational numbers and demonstrates how to locate them on a number line. The tutorial includes examples and practice problems to help students understand and apply the concepts without using a calculator. By the end, students should be able to estimate the square roots of non-perfect squares and understand their placement on a number line.

What is a perfect square?

• A number that is a prime number

• A number that is a multiple of 10

• A number whose square root is a whole number

• A number that can be divided by 2

Which of the following is an example of a perfect square?

• 15

• 20

• 25

• 30

What defines a non-perfect square?

• A number that is less than 10

• A number that is even

• A number whose square root is not a whole number

• A number that is a multiple of 5

Which of the following is NOT a perfect square?

• 64

• 50

• 49

• 36

What is the square root of 2 classified as?

• A rational number

• A whole number

• An irrational number

• A prime number

How can you estimate the square root of a non-perfect square using a number line?

• By finding the closest prime numbers

• By finding the closest perfect squares

• By finding the closest even numbers

• By finding the closest multiples of 10

What is the estimated square root of 50?

• 7.1

• 7.5

• 8.1

• 6.5

Between which two numbers does the square root of 22 lie?

• 3 and 4

• 4 and 5

• 6 and 7

• 5 and 6

What is the approximate length of one side of a square table with an area of 65 square feet?

• 8.1 feet

• 7.5 feet

• 9.1 feet

• 8.5 feet

Where would the square root of 88 be placed on a number line?

• Between 8 and 9

• Between 9 and 10

• Between 10 and 11

• Between 11 and 12