Multiplying Monomials and Binomials

This video tutorial covers the process of multiplying binomials with radicals. It begins with an introduction to the concept, followed by detailed examples demonstrating how to simplify products of radicals, including cube roots. The tutorial also explains the multiplication of binomials and the expansion of expressions, emphasizing the importance of prime factorization and identifying perfect square factors. Each example is broken down step-by-step to ensure clarity and understanding.

What is the first step when multiplying binomials with radicals?

• Add the radicands together

• Multiply the radicands outside the radicals

• Subtract the radicands

• Divide the radicands

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

• Four

• Three

• Two

• One

What is the process called when you multiply a binomial by a binomial?

• Double distribution

• Single distribution

• Quadruple distribution

• Triple distribution

In the example of multiplying two binomials with radicals, what is the prime factorization of 15?

• 2 times 3

• 2 times 5

• 3 times 5

• 5 times 5

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

• 1

• 2

• 3

• 4

When multiplying a binomial with a cube root, why don't you multiply the numbers outside the radical with those inside?

• Because they are not under the same radical

• Because they are in different dimensions

• Because they are not like terms

• Because they are already simplified

In the example of multiplying a binomial with a cube root, what is the perfect cube factor identified?

• Five cube

• Three cube

• Four cube

• Two cube

In the final example, what is the result of negative one times negative one?

• Negative one

• Zero

• Two

• One

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

• Five

• Twenty

• Ten

• Fifteen

What is the final simplified result of the last example?

• 18 minus five square root 10

• 23 plus six square root 10

• 18 plus five square root 10

• 23 minus six square root 10