Estimating Square Roots Effectively

This video tutorial teaches how to estimate square roots using perfect squares. It covers the prerequisites needed, such as understanding square roots and perfect squares, and provides multiple examples to illustrate the estimation process. The video emphasizes finding two perfect squares between which the number lies and estimating the decimal value based on proximity. It concludes by noting that this is one method among others for estimating square roots.

Why is it important to know perfect squares when estimating square roots?

• They are used to calculate the square root directly.

• They help in finding the exact square root.

• They are not relevant to estimating square roots.

• They provide a range within which the square root lies.

Which two perfect squares does the number 15 fall between?

• 9 and 16

• 16 and 25

• 4 and 9

• 1 and 4

What is the estimated square root of 15?

• 4.0

• 3.9

• 4.1

• 3.5

Which two perfect squares does the number 60 fall between?

• 25 and 36

• 64 and 81

• 49 and 64

• 36 and 49

What is the estimated square root of 60?

• 7.2

• 7.9

• 7.5

• 7.7

Which two perfect squares does the number 90 fall between?

• 64 and 81

• 100 and 121

• 49 and 64

• 81 and 100

What is the estimated square root of 90?

• 9.8

• 9.6

• 9.4

• 9.2

Which two perfect squares does the number 124 fall between?

• 81 and 100

• 144 and 169

• 121 and 144

• 100 and 121

What is the estimated square root of 124?

• 11.4

• 11.3

• 11.1

• 11.2

Which two perfect squares does the number 184 fall between?

• 121 and 144

• 169 and 196

• 196 and 225

• 144 and 169