1.1 Radical Operations Math 3 Unit 1 EQ: How can we use the index to help simplify a radical expression? Example 1: Simplify Example 3: Simplify When simplifying radicals, factor the insides of the radical. Then circle the pairs, triples or quadruples (depending on Example 2: Simplify Example 4: Simplify the index) and pull them outside. Multiply outside factors on the outside and inside factors on the inside. Example 5: Example 7: When multiplying radicals, start by simplifying the radicals, if necessary. Then, multiply Example 6: Example 8: outsides by outsides and insides by insides. Then simplify again. Adding Radicals Subtracting Radicals **Only add like terms (like radicands and **Only subtract like terms (like radicands and indices!)…so simplify first, then add if possible. indices!)…so simplify first, then subtract if possible Example 1: Example 3:
Math 3 1.1 Radical Operations Unit 1 EQ: How can we use the index to help simplify a radical expression? When simplifying radicals, factor the insides of the radical. Then circle the pairs, triples or quadruples (depending on the index) and pull them outside. Multiply outside factors on the outside and inside factors on the inside. Example 1: Simplify Example 2: Simplify Example 3: Simplify Example 4: Simplify When multiplying radicals, start by simplifying the radicals, if necessary. Then, multiply outsides by outsides and insides by insides. Then simplify again. Example 5: Example 6: Example 7: Example 8: Adding Radicals **Only add like terms (like radicands and indices!)…so simplify first, then add if possible. Example 1: Subtracting Radicals **Only subtract like terms (like radicands and indices!)…so simplify first, then subtract if possible Example 3:
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