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Notes 7.1 Roots and Radical Expressions

Notes 7.1 Roots and Radical Expressions. nth root: for any real numbers a and b and any positive integer n , if a n = b then a is an nth root of b. 2 4 = 16 and (-2) 4 = 16 so 2 & -2 are 4 th roots of 16. Possible Real Roots. Type of # # of real nth # or real

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Notes 7.1 Roots and Radical Expressions

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  1. Notes 7.1 Roots and Radical Expressions

  2. nth root: for any real numbers a and b and any positive integer n, if an = b then a is an nth root of b. • 24 = 16 and (-2)4 = 16 so 2 & -2 are 4th roots of 16.

  3. Possible Real Roots Type of # # of real nth # or real roots if n is even nth roots if n is odd Positive 2 1 Zero 1 1 Negative 0 1

  4. EX 1

  5. n = index 50 = radicand

  6. You must know: • 20 = 1 30 = 1 40 = 1 50 = 1 • 21 = 2 31 = 3 41 = 4 51 = 5 • 22 = 4 32 = 9 42 = 16 52 = 25 • 23 = 8 33 = 27 43 = 64 53 = 125 • 24 = 16 34 = 81 44 = 256 54 = 625 • 25 = 32 35 = 243 • 26 = 64 • 27 = 128 • 28 = 256

  7. EX 2

  8. EX 3

  9. EX 4

  10. Ex 5 You can multiply two radicals together as long as they have the same index.

  11. Ex 6

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