Estimating Square Roots of Numbers

The video tutorial explains how to estimate the square root of 15 by comparing it to the known square roots of 9 and 16. The instructor demonstrates that since 15 is closer to 16, its square root is closer to 4. An estimation of 3.9 is suggested, and this is verified using a calculator, which shows a more precise value of approximately 3.872.

What is the purpose of estimating the square root of 15?

• To approximate its value using known square roots

• To determine if it is a whole number

• To compare it with the square root of 25

• To find the exact value of the square root

Which two numbers are used to estimate the square root of 15?

• 8 and 17

• 10 and 20

• 12 and 18

• 9 and 16

Why is the square root of 15 closer to 4 than to 3?

• Because 15 is closer to 16 than to 9

• Because 15 is a prime number

• Because 15 is a larger number

• Because 15 is an even number

What is the estimated value of the square root of 15?

• 3.7

• 4.1

• 3.5

• 3.9

What is the actual value of the square root of 15 as calculated by a calculator?

• 3.750

• 3.800

• 3.900

• 3.872