Exploring Multiplying Radicals

This video tutorial teaches students how to multiply and simplify radicals. It begins with a review of simplifying radicals and introduces the concept of multiplying radicals. The tutorial explains the commutative property of multiplication and demonstrates how to rearrange and multiply integer and radical parts separately. Several example problems are solved to illustrate the process, including checking for perfect squares and simplifying complex radicals. The video concludes with advanced techniques for simplifying radicals and verifying results using a calculator.

What is the purpose of separating a number into a product of two different numbers when simplifying radicals?

• To make the number larger

• To make the number smaller

• To simplify the radical

• To complicate the calculation

What is the result of multiplying the square root of 2 by itself?

• 8

• 2

• 4

• 1

Which property allows us to rearrange the order of multiplication?

• Associative property

• Distributive property

• Commutative property

• Identity property

What is the simplified form of the square root of 15?

• It cannot be simplified

• 5

• 3

• 15

What is the result of multiplying -1 by 4?

• 1

• -1

• 4

• -4

What is the square root of 16?

• 8

• 16

• 4

• 2

What is the final answer when multiplying -4 by the square root of 16?

• 8

• -8

• -16

• 16

What is the largest perfect square factor of 180?

• 36

• 25

• 16

• 9

What is the simplified form of 16 times the square root of 5?

• 96

• 16

• 16 times the square root of 5

• 96 times the square root of 5

What is the final answer when multiplying -24 by the square root of 49?

• 24

• -24

• 168

• -168