Exploring Multiplying Radicals

The video tutorial covers the process of multiplying radicals, starting with basic principles such as multiplying coefficients and radicands separately, followed by simplification. It includes several examples, gradually increasing in complexity, and introduces handling variables within radicals. The tutorial emphasizes the importance of order of operations and provides a comprehensive walkthrough of various problems, ensuring students understand each step. The session concludes with a reminder to practice and reach out for help if needed.

What is the first step in multiplying radicals?

• Subtract the radicands

• Multiply the coefficients

• Add the coefficients

• Multiply the radicands

What is the simplified form of √8 * √2?

• √16

• 4

• √6

• -12

How do you handle a negative sign when multiplying radicals?

• Ignore it

• Add it to the result

• Multiply it with the coefficients

• Subtract it from the result

What is the simplified form of √120?

• 2√30

• 4√30

• √60

• √40

When multiplying variables with exponents under a radical, what should you do with the exponents?

• Ignore them

• Add them

• Divide them

• Subtract them

What is the simplified form of √36n^3?

• 6√n

• n√36

• 6n√n

• 6n^2

How do you simplify the expression √45w^7?

• 3w^3√5w

• 3w^3√5

• 3w^2√5w

• 3w^2√5

What is the result of combining 2√15 and 5√3?

• 7√18

• 7√3

• 2√15 + 5√3

• 7√15

What is the simplified form of (√5 + 2)(√5 + 4)?

• 13 + 6√5

• 13 + 8√5

• 9 + 6√5

• 9 + 8√5

What is the simplified form of 6√3 * 5√3?

• 15√3

• 90

• 30√3

• 30√9