Exploring Multiplying Radicals in Algebra 2

This video tutorial covers the process of multiplying radicals, including the use of the product rule for radicands and coefficients. It provides multiple examples, demonstrating how to simplify results and apply the distributive property and FOIL method. The tutorial also explores cube and fourth roots, squaring binomials, and the difference of squares, offering a comprehensive guide to handling radicals in various mathematical contexts.

What is the first step in multiplying radicals?

• Add the exponents

• Multiply the radicands

• Multiply the coefficients

• Simplify the radicals

When multiplying radicals, what should you do after multiplying the coefficients?

• Divide the coefficients

• Subtract the radicands

• Multiply the radicands

• Add the coefficients

In the example 4√6 * √6n, what is the simplified form of √36?

• √36

• 36

• √6

• 6

What is the simplified form of 300x² when multiplied by -15?

• -50x²√3

• -150x²

• -50x√3

• -1500x

What is the cube root of -216?

• 6

• 36

• -36

• -6

What is the fourth root of 256?

• 16

• 64

• 4

• 2

How do you write 3 times the square root of 6?

• √3

• 3√6

• 6√3

• √18

What is the result of multiplying √5 by 4?

• 4√5

• √20

• 5√4

• √9

What is the simplified form of 6√36?

• 36√6

• 6

• 36

• 6√6

What is the result of multiplying (3 - √6) by (3 + √6)?

• 0

• 6

• 3

• 9