Approximating Square Roots on a Number Line

This video tutorial teaches how to approximate square roots and place them on a number line. It begins with a review of perfect squares and then demonstrates the approximation process for various radicals, including 94, 62, 42, 110, and 31. The tutorial emphasizes finding the closest perfect squares and determining the radical's position relative to these squares on the number line.

What is the relationship between square roots and radicals?

• They are completely different concepts.

• Square roots are a subset of radicals.

• Radicals are a subset of square roots.

• They mean the same thing.

What is the square root of 9?

• 3

• 5

• 4

• 2

Which two perfect squares is the square root of 94 between?

• 8 and 9

• 9 and 10

• 10 and 11

• 7 and 8

Is the square root of 94 closer to 9 or 10?

• Exactly in the middle

• 9

• None of the above

• 10

Which two perfect squares is the square root of 62 between?

• 6 and 7

• 7 and 8

• 8 and 9

• 5 and 6

Is the square root of 62 closer to 7 or 8?

• None of the above

• 7

• 8

• Exactly in the middle

Which two perfect squares is the square root of 42 between?

• 8 and 9

• 6 and 7

• 5 and 6

• 7 and 8

Which two perfect squares is the square root of 110 between?

• 9 and 10

• 11 and 12

• 10 and 11

• 8 and 9

Which two perfect squares is the square root of 31 between?

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

What is the main goal when approximating square roots?

• To place the square root accurately on a number line

• To memorize all perfect squares

• To find the closest integer

• To find the exact value