### Download Presentation

Section 7.3 Simplifying Combining Radical Expressions

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

#### Presentation Transcript

**1. **Section 7.3 Simplifying & Combining Radical Expressions Product & Quotient Rules for Radicals
Simplifying Radical Expressions
Adding & Subtracting Radical Expressions

**2. **The Product Rule for Radicals

**3. **The Quotient Rule for Radicals

**4. **A Radical Expression is Simplified When: Each factor in the radicand is to a power less than the index of the radical
The radicand contains no fractions or negative numbers
No radicals appear in the denominator of a fraction

**5. **Remove all perfect nth root factors from the radicand (numbers)

**6. **Remove all perfect nth root factors from the radicand (variables)

**7. **Leave no fractions or negative numbers in the radicand

**8. **No radicals remain in the denominator of a fraction

**9. **Adding & Subtracting Like Radicals Each term must have a radical with identical index and radicand
Law of distribution allows combining or factoring
Like radicals:
Unlike radicals (cannot combine)

**10. **Simplify before Trying to Combine

**11. **What Next? Multiplication & Division! Present Section 7.4 Multiply & Divide Radical Expressions