Cube Roots and Binomial Multiplication

This video tutorial covers the process of multiplying binomials with radicals. It begins with an introduction to the concept, followed by detailed steps on how to multiply radicals and simplify the results. The tutorial includes several examples to illustrate the process, including both basic and advanced cases. The video concludes with a final example and a summary of the key points discussed.

What is the first step in multiplying binomials with radicals?

• Add the radicands together

• Divide the coefficients

• Multiply the coefficients outside the radicals

• Subtract the radicands

When multiplying a monomial by a binomial, how many products do you get?

• Two

• Four

• Three

• One

In the example of multiplying square root six by square root fifteen, what is the next step after multiplying the radicands?

• Add the results

• Simplify by finding perfect square factors

• Subtract the results

• Divide by the coefficient

What is the prime factorization of 15 used in the example?

• 5 x 5

• 2 x 5

• 3 x 5

• 2 x 3

In the cube root example, why can't the cube root of nine be simplified?

• It is already in simplest form

• It has no perfect cube factors

• It has no perfect square factors

• It is a prime number

What is the perfect cube factor identified in the cube root example?

• 6 cubed

• 5 cubed

• 3 cubed

• 2 cubed

How many products are formed when multiplying two binomials?

• Four

• Three

• Two

• Five

In the final example, what is the result of multiplying three by three?

• Six

• Nine

• Twelve

• Fifteen

What is the simplified form of the square root of five squared?

• Fifteen

• Ten

• Twenty

• Five

What is the final simplified result of the last example?

• 20 - 5√10

• 23 - 6√10

• 25 + 6√10

• 18 + 5√10