Mastering the Multiplication of Radical Expressions

What is the distributive property used for in the context of multiplying radical expressions?

• To subtract two radical expressions

• To divide two radical expressions

• To distribute a term to each term inside a binomial or polynomial

• To add two radical expressions

When multiplying two different radicands, such as √2 and √3, what is the result?

• √1

• √6

• √5

• √9

What is the simplified result of multiplying 5√2 by 4√3?

• 20√5

• 20√6

• 20√1

• 20√9

If you multiply 7√5 by 4√5, what is the simplified result?

• 28√10

• 28√25

• 140

• 28√5

How do you apply the distributive property to 6√2(7√2 - 5√6)?

• 42√2 - 30√12

• 42√4 - 30√6

• 42√2 - 30√6

• 42√4 - 30√12

What is the simplified form of 84 - 30√12?

• 84 - 30√6

• 84 - 60√6

• 84 - 30√3

• 84 - 60√3

In the FOIL method, what is the result of the first multiplication in (9√2 - 5√3)(4√2 - 3√3)?

• 36√4

• 36

• 36√2

• 36√6

What is the simplified result of combining like terms -27√6 + 20√6?

• -47√6

• 7√6

• 47√6

• -7√6

When squaring a binomial (6√5 - 2√3)^2, what is the result of the first multiplication?

• 36√10

• 36√25

• 36√5

• 36√15

What is the final simplified result of squaring the binomial (6√5 - 2√3)^2?

• 180 - 12√15

• 180 - 24√15

• 192 - 24√15

• 192 - 12√15