Adding and Subtracting, and Multiplying Radical expressions

1. Adding and Subtracting, and Multiplying Radical expressions Objectives: Add or subtract radical expressions Multiply radical expressions

2. Like Radicals Radicals with the same index and the same radicand are like radicals. Evaluate: for x =

3. Find the largest perfect square factor Use the product rule Simplify and Add like radicals Solution

4. SOLVE Factor and use the product rule Simplify and Write -4 · 4 as -16 Combine like radicals

5. Classroom Example To subtract, notice that the LCD is 18 Write each expression as an equivalent expression with a denominator of 18 Multiply factors in the numerator and the denominator. SOLUTION

6. Classroom example Use the distributive property Use the product rule for radicals Solution

7. Classroom Example To multiply, we can use the FOIL method First Outer Inner Last Solution