Exploring Multiplying Radicals

What is the first step when multiplying radicals?

• Multiply the outside numbers with outside numbers and inside numbers with inside numbers

• Multiply the outside numbers with the inside numbers

• Add the outside numbers

• Subtract the inside numbers

In the example 4√5 × 5√10, what is the product of the outside numbers?

• 20

• 15

• 9

• 25

What is the simplified form of √6 × √6?

• √12

• 12

• 6

• √36

When distributing √6 in the expression 2√6 - 3√6, what is the result?

• 2√6 - 3√36

• 2√6 - 18

• 2√6 - 3√6

• 2√6 - 3

What is the rule for multiplying cube roots?

• Outside numbers to outside numbers, inside numbers to inside numbers

• Add the cube roots

• Divide the cube roots

• Subtract the cube roots

In the expression 4√3 × 21, what is the simplified form?

• 4√7

• 4√21

• 4√63

• 4√3

What method is used to multiply binomials involving radicals?

• Distributive

• Subtraction

• FOIL

• Addition

What is the result of 2√6 + 4√6?

• 6√6

• 2√12

• 6

• 2√6

When expanding (3√2 + √3)², what is the first term?

• 9√4

• 9

• 9√2

• 6√2

What is the simplified form of 18 + 3 - 6√6?

• 15 - 6√6

• 21 + 6√6

• 21 - 6√6

• 15 + 6√6