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8.1-2 Radical expressions & Rational Esponents

8.1-2 Radical expressions & Rational Esponents -...

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8.1 Radical Expressions & Functions The number  c  is a   square root of  a  if  c 2  = a .  The principal square root of a nonnegative number is its  nonnegative square root.  The radical sign is used to indicate the principal square root of the number over  which it appears. For each number find all of its square roots: 1. 64 2. 169 3. 3600 4. 256 Simplify: 5. 196 6. 289 - 7. 49 121 - 8. 0025 . Identify the radicand, the root index, and the coefficient: 9. 2 3 5 b - - 10. 3 16 5 81 11. 2 3 6 3 ( ) x y x x y - Find the specified value of each function if it exists: 12. ( 29 2 16 f x x = - 13. ( 29 2 4 m q q = - - 14. ( 29 3 2 1 g x x = - - ( 29 ( 29 ( 29 7 2 9 f f f - = = = ( 29 ( 29 ( 29 7 2 9 m m m - = = = ( 29 ( 29 ( 29 0 62 63 g g g = - = = Simplify, using absolute-value notation as needed: 15.   ( 29 3 3 64 z p z = - 16. ( 29 2 4 q - 17.   ( 29 8 8 22 - 18.   ( 29 28 14 6 a Simplify; assume no radicands were formed by raising negative quantities to even powers: 19.
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