Square Roots and Comparisons

The video tutorial explains how to estimate the square root of 45 by identifying nearby perfect squares. It highlights that the square root of 6 is 36 and the square root of 7 is 49, placing 45 between these values. The tutorial guides viewers to understand that 45 is closer to 49 than 36, leading to an educated guess of 6.7, which is close to the actual square root of 6.78.

What are the square roots of 36 and 49, which are used as reference points in the video?

• 7 and 8

• 6 and 7

• 8 and 9

• 5 and 6

How much more is 45 than 36?

• 5

• 7

• 9

• 11

How much less is 45 than 49?

• 4

• 2

• 5

• 3

What is the estimated square root of 45 mentioned in the video?

• 7.1

• 6.5

• 6.7

• 6.9

What is the actual square root of 45 as stated in the video?

• 6.78

• 6.77

• 6.76

• 6.75