Multiplying Radicals with the Distributive Property

This video tutorial demonstrates how to multiply radicals using the distributive property. It begins with a simple example where no like radicals are present, explaining the need to distribute and multiply. The tutorial then progresses to a more complex example involving mixed radicals and subtraction, illustrating the process of multiplying regular numbers with radicals and breaking down radicals using prime factors.

What property is used to multiply radicals in this video?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

In the distributive property, what operation is used to combine the number outside the brackets with each number inside the brackets?

• Multiplication

• Subtraction

• Division

• Addition

What should you do if there is no number in front of a radical?

• Assume it is one

• Assume it is zero

• Ignore it

• Assume it is two

What is the result of multiplying 1 * 2 in the example provided?

• 3

• 2

• 1

• 4

What is the product of the square root of 3 and the square root of 2?

• Square root of 5

• Square root of 6

• Square root of 7

• Square root of 8

In the complex example, what operation is introduced along with multiplication?

• Exponentiation

• Division

• Subtraction

• Addition

What is the result of multiplying 3 * 5 in the complex example?

• 18

• 8

• 12

• 15

What is the product of the numbers under the radicals 2 and 6?

• 14

• 8

• 10

• 12

How can the square root of 12 be broken down into prime factors?

• 2 * 3 * 3

• 2 * 2 * 3

• 3 * 3 * 3

• 2 * 2 * 2

Why can't unlike radicals be subtracted from each other?

• They have different radicands

• They have different coefficients

• They can be subtracted

• They have different exponents