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?
Parts of a radical expression:
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
Simplify
Simplify
Simplify
Part 2: Rational Exponents Rational Exponents:
Exponents that are written as fractions
Re-write in radical form
Re-write in radical form
Re-write in radical form
Re-write in radical form
Re-write in radical form
Re-write in radical form
Re-write in radical form
Part 3: Multiplying
You cannot multiply radicals if the indexes are different
Multiply the coefficients and radicands
Simplify answer by making a factor tree
Multiply & Simplify
Multiply & Simplify
Part 4: Adding & Subtracting
You cannot add/subtract radicals if the indexes or radicands are different