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# 7.1 nth Roots &amp; Rational Exponents

7.1 nth Roots &amp; Rational Exponents. n th roots. Solutions. n is called the index If n is odd, there is one real root If n is even AND , there are two real roots If n is even AND , the real root is zero If n is even AND , there are NO real roots. Notation.

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## 7.1 nth Roots &amp; Rational Exponents

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1. 7.1 nth Roots & Rational Exponents

2. nth roots

3. Solutions • n is called the index • If n is odd, there is one real root • If n is even AND , there are two real roots • If n is even AND , the real root is zero • If n is even AND , there are NO real roots

4. Notation

5. Examples • Find the nth roots of a without a calculator

6. Examples • Rewrite in radical form first, then evaluate without a calculator

7. Solving Equations • To solve equations using nth roots • Isolate the nth root term • Follow regular solving equation rules

8. Examples HW: p404-405 #14-60even

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