Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical...
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Transcript of Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical...
SIMPLIFYING RADICAL EXPRESSION
Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding, subtracting and multiplying radicals? What are rational exponents?
Part 1: How to Simplify
1. Make a factor tree
2. Circle groups of Two (square root) Three (cube root) Four (fourth root)
Move one number from each group to the outside
Part 3: Multiplying
You cannot multiply radicals if the indexes are different
Multiply the coefficients and radicands
Simplify answer by making a factor tree
Part 4: Adding & Subtracting
You cannot add/subtract radicals if the indexes or radicands are different
Simplify by making a factor tree first
Add coefficients, keep the radicand the same