Multiplying Radicals Steps Example: Multiply coefficients together 1.

Multiplying Radicals Steps Example: 1. 2. Multiply coefficients together Multiply radicals together 1. 2.

Multiplying Radicals Steps Example: Multiply coefficients together Multiply radicals together Simplify radicals if possible

Examples of Multiplying Radicals Incorrect Example: This is Wrong! Correct example: Be careful to multiply the coefficients with coefficients and radicals with radicals. Don’t multiply these together!

Combined Operations with Radicals You follow the same steps with these as you do with polynomials. Use the distribution property. Example:

Combined Operations with Radicals You follow the same steps with these as you do with polynomials. Use the distribution property. Example:

Combined Operations with Radicals You follow the same steps with these as you do with polynomials. Use the distribution property. Example:

Common Mistakes made while doing combined operations Be careful to multiply correctly. Correct Answer: Incorrect Answer:

Dividing Radicals (part 1) Example: There are 4 steps to dividing radicals. 1. Reduce coefficients and/or radicals by common factor (if you can). 2.Take out any perfect squares (if possible). Rationalize denominators. Reduce coefficients again. Divide top and bottom by

Dividing Radicals (part 2) When rationalizing denominators, multiply top and bottom by the conjugate. Example: Multiply top and bottom by Denominator.

Common Errors Done While Dividing Radicals Be careful not to divide a coefficient by a radical. Example of this error: The correct answer to this question is: Multiply top and bottom by

Practice Problems Solve. 1. Divide. 2.

ANSWERS 1. 2.