Multiplying and Simplifying Radicals

This video tutorial covers the multiplication and simplification of radicals. It begins with an introduction to radicals, explaining the concept of radicans and the rules for adding and subtracting radicals. The tutorial then focuses on multiplying radicals, demonstrating how to multiply radicans and simplify the results using factor trees. More complex examples are provided to illustrate the process of handling outside numbers and simplifying radical products. The video concludes with final examples and encourages viewers to explore additional resources for further learning.

What is the term used for the numbers or variables inside a radical sign?

• Exponents

• Coefficients

• Radicands

• Radicals

When adding or subtracting radicals, what must be true about the radicands?

• They must be the same

• They must be different

• They must be prime numbers

• They must be even numbers

How do you multiply two radicals?

• Multiply the radicands

• Divide the radicands

• Subtract the radicands

• Add the radicands

What is the result of multiplying radical 3 and radical 6?

• Radical 12

• Radical 18

• Radical 9

• Radical 36

What is the first step in simplifying a radical?

• Multiply the numbers

• Find the prime factorization

• Divide the numbers

• Add the numbers

What is the simplified form of radical 18?

• Radical 9

• 3 radical 2

• 2 radical 3

• Radical 6

What is the prime factorization of 20?

• 3 * 3 * 5

• 2 * 2 * 2

• 2 * 3 * 5

• 2 * 2 * 5

What is the simplified form of radical 20?

• 5 radical 2

• Radical 4

• 2 radical 5

• Radical 10

When multiplying radicals with outside numbers, what should you do first?

• Subtract the outside numbers

• Multiply the outside numbers

• Divide the outside numbers

• Add the outside numbers

What is the result of multiplying 2 radical 6 and 7 radical 4?

• 28 radical 24

• 14 radical 6

• 28 radical 6

• 14 radical 24