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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