Exploring Multiplying Radicals

The video tutorial covers multiplying radicals, starting with a review of simplifying radicals. It explains how to multiply radicals, including those with numbers outside the radical, and emphasizes the importance of simplifying results. The tutorial also demonstrates using the distributive property with radicals and provides methods for squaring radicals, highlighting the importance of understanding when to distribute the square.

What is the simplified form of the square root of 20?

• 4√5

• 2√5

• 10

• 5√2

How do you multiply √2 and √3?

• √9

• √5

• √12

• √6

What is the simplified form of √12?

• 2√3

• 3√2

• 4√3

• 6√2

When multiplying 2√3 and 3√5, what is the product?

• 5√15

• 6√15

• 6√8

• 5√8

Which of the following is NOT allowed when multiplying radicals?

• Multiplying numbers outside the radical

• Multiplying outside numbers with inside numbers

• Multiplying numbers inside the radical

• Simplifying the result

What is the result of 4√3 multiplied by √12?

• 4√9

• 4√15

• 4√6

• 4√36

What is the simplified form of 4√36?

• 24

• 12

• 6

• 18

What is the simplified form of 4√18?

• 12√2

• 24√2

• 8√2

• 6√2

What is the result of squaring 3√5?

• 15

• 45

• 9√5

• 9√25

What happens when you square a square root?

• It squares the number

• It halves the number

• It cancels the square root

• It doubles the number