Perfect Squares and Square Roots

The video tutorial explains how to estimate the square root of 17 by identifying nearby perfect squares, 16 and 25, which are 4 and 5 respectively. The tutorial suggests estimating the square root of 17 as 4.1 and demonstrates using a calculator to find a more precise value of approximately 4.1231.

Which of the following numbers is a perfect square close to 17?

• 16

• 20

• 15

• 18

Which of the following is NOT a perfect square?

• 16

• 25

• 9

• 17

What is the perfect square root of 25?

• 4

• 5

• 6

• 7

Why is 4.1 chosen as an initial estimate for the square root of 17?

• Because 17 is closer to 20

• Because 17 is a perfect square

• Because 17 is one number larger than 16

• Because 17 is closer to 25

What is the approximate value of the square root of 17 as calculated by a calculator?

• 4.0

• 5.0

• 4.5

• 4.1231