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

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

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

4. 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!

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

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

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

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

9. 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

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

11. 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

12. Practice Problems
Solve. 1.
Divide. 2.

13. ANSWERS 1. 2.