Simplifying Square Roots and Their Properties

This video lesson on Common Core Algebra 1 covers the concept of square roots, including principal and negative square roots, and their properties. It explains how to use function notation with square roots and explores the multiplication property of square roots. The lesson also teaches how to simplify square roots by extracting perfect square factors. The video concludes with a summary of the key concepts and skills learned.

What is the square root of 25?

• 4

• 5

• 6

• 3

Which of the following is the square root of 100?

• 10

• 11

• 9

• 8

What is the principal square root of 36?

• -12

• 6

• -6

• 12

If the square root of 49 is 7, what is the negative square root of 49?

• -7

• 7

• -49

• 49

What is the value of the square root of 4 times the square root of 9?

• 6

• 16

• 8

• 12

Which of the following is the square root of 36?

• 8

• 7

• 6

• 5

What is the simplified form of the square root of 18?

• 2√2

• 3√2

• 3√3

• 2√3

Which of the following is the simplified form of the square root of 45?

• 5√3

• 3√3

• 5√5

• 3√5

What is the simplified form of the square root of 72?

• 6√2

• 8√2

• 6√3

• 8√3

What property of square roots allows us to multiply the radicands first and then take the square root?

• Addition Property

• Multiplication Property

• Division Property

• Subtraction Property