Multiplying and Simplifying Expressions

The video tutorial covers the process of multiplying a monomial by a binomial radical expression. It begins with a general introduction to the concept, followed by two detailed examples demonstrating the distribution of radicals. The first example involves distributing a term across a binomial and simplifying the result. The second example further illustrates the process with different numbers, emphasizing the importance of simplification. The tutorial concludes with key reminders about the distribution process and ensuring final answers are simplified.

What is the first step when multiplying a monomial by a binomial radical expression?

• Add the terms inside the parentheses.

• Distribute the monomial across the binomial.

• Subtract the terms inside the parentheses.

• Divide the monomial by the binomial.

In the first example, what is the result of multiplying 5 by 2?

• 15

• 10

• 12

• 7

Why do we leave the product as 10 times 6 in the first example?

• To keep the numbers small.

• To simplify the expression later.

• To avoid further calculations.

• To make it easier to add.

In the first example, what is the result of 5 times negative 3?

• -10

• -25

• -15

• -20

What is the prime factorization of 60 in the first example?

• 3 x 3 x 5

• 2 x 3 x 5

• 2 x 5 x 5

• 2 x 2 x 3

What is the purpose of finding the prime factorization in these examples?

• To add the terms easily.

• To multiply the terms again.

• To divide the terms.

• To simplify the expression.

What is the simplified form of 10 root 2 squared times 3?

• 15 root 6

• 10 root 6

• 30 root 6

• 20 root 6

In the second example, what is the value of 7 times 1?

• 6

• 7

• 8

• 9

What is the result of multiplying square root 3 by square root 6?

• Square root 18

• Square root 15

• Square root 12

• Square root 9

In the second example, what is the simplified form of 7 times 3 root 2?

• 21 root 2

• 14 root 2

• 10 root 2

• 18 root 2