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## 1-6 Radicals ( Day 1 ) and Rational Exponents (Day 2)

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**What is a Radical?**In simplest term, the definition of the radical ( ) is this: If a > 0 then where x > 0 and = Principle Square Root = The Positive root**Now extend to when :**The Principle nth root of a: • If a > 0 then =x such that 2. 3. If a < 0 and n is odd then is a negative number such that . 4. If a < 0 and n is even, is not real.**AUGH! What was all that?**Vocab Word That was the Mathlish for evaluating radical expressions where the index ≠ 2. Lets learn the vocabulary before we practice the problems. Radical Expression Index or Root Radicand ***If n is missing, then it is understood to be 2**Form of a Radical Problem**because because Notice this method!!**Rules of Radicals**So, the goal today will be to pull out perfect roots (perfect squares, cubes, etc). Prime factoring will often help.**Practice problems**Simplify each expression