Exploring Squares and Square Roots

This video tutorial covers the basics of square roots and perfect squares, including how to calculate and estimate square roots. It explains the concept of positive and negative square roots, as well as imaginary numbers. The tutorial also demonstrates how to use a calculator to find square roots and applies these concepts to real-world problems, such as calculating the distance to the horizon using a given formula.

What is the square root of 144?

• 13

• 12

• 11

• 10

What does a negative sign outside a square root symbol indicate?

• Imaginary number

• Negative square root

• No real solution

• Positive square root

What is the square root of 64?

• 9

• 6

• 8

• 7

What is the result of the square root of a negative number?

• Imaginary number

• Negative number

• No real solution

• Positive number

Which of the following is a perfect square?

• 20

• 25

• 30

• 35

If a number is between 25 and 36, which integer is it closer to?

• 6

• 7

• 5

• 4

What is the approximate square root of 40 to the nearest tenth?

• 6.4

• 6.3

• 6.2

• 6.1

What is the negative square root of 18 to the nearest tenth?

• -4.2

• -4.4

• -4.1

• -4.3

Using the formula d = 1.22 * sqrt(h), what is the distance to the horizon if h = 520 feet?

• 25.8 miles

• 26.8 miles

• 27.8 miles

• 28.8 miles

What is the value of h in the formula d = 1.22 * sqrt(h) if the observation deck is 1,520 feet high?

• 1,420 feet

• 1,520 feet

• 1,620 feet

• 1,720 feet