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N 9-1 Simplifying Radical Expressions Parts of a radical: index radicand (… Radicals can also have “coefficients”) Simplify each radical expression. 1. 48 1. If no specific 5. 5 64 INDEX is written, what is it “understood” to be? WARM-UP: Use your knowledge of Perfect Power Numbers to complete the following… _____ For the variables, Use the INDEX to… 1. create a fractional exponent 18m3 2. 3. 3 𝑃𝑂𝑊𝐸𝑅 𝐼𝑁𝐷𝐸𝑋 6. 4 32x 6 22 = _____ 23 = _____ 2. Change it to a MIXED fraction and use it to “simplify” the variable part of the radical 24 = _____ (Whole number is the “complete” powers that are OUT of the radical; Numerator is the power of the variable still IN the radical) 26 = _____ 64a b 6 7 25 = _____ 27 = ______ 28 = ______ 7. 5 32x y 5 10 29 = ______ 210 = _______ 32 = _____ The INDEX of your answer should be the SAME!! 33 = _____ 34 = _____ 35 = ______ 36 = ______ 4. 4 256 42 = _____ 45 = _______ 37 = _______ 43 = _____ 46 = _______ These are numbers you should know!! 44 = _____ N 9-1 (day 2) You can multiply and divide radicals only if they have the same index. n 8. 5 24 3 8 10. 4 n a na n b b a b ab n 4 4a2b5 8a4b10 n 3 9. 11. 48 3 2 3 27 8 You can add radicals only when the index and radicands are the same. 12. 2 3 3 3 13. 2 50 80 3 125 14. 124 80 184 5 15. 3 16 3 54