Estimating Square Roots of Numbers

The video tutorial explains how to estimate the square root of 45 by comparing it to the known square roots of 36 and 49. The instructor demonstrates that since 45 is between 36 and 49, its square root is between 6 and 7. By considering the proximity of 45 to these numbers, the instructor estimates the square root to be approximately 6.7. This estimation is verified using a calculator, confirming the accuracy of the method. The tutorial aims to help viewers understand the process of estimating square roots through logical reasoning and comparison.

What is the square root of 36?

• 8

• 7

• 6

• 5

Which two numbers is 45 between when estimating its square root?

• 30 and 40

• 36 and 49

• 40 and 50

• 35 and 48

Why is the estimated square root of 45 closer to 7 than to 6?

• Because 45 is closer to 49 than to 36

• Because 45 is closer to 36 than to 49

• Because 45 is an even number

• Because 45 is a prime number

What is the estimated square root of 45 according to the explanation?

• 6.5

• 6.7

• 6.6

• 6.8

What tool can be used to verify the estimated square root of 45?

• A compass

• A protractor

• A calculator

• A ruler