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Imaginary Numbers and Negative Square Roots

Imaginary Numbers and Negative Square Roots. Imaginary Numbers. The imaginary number i is the square root of -1: Example: Evaluate (3 i) 2. Generalizing Powers of i. Evaluate the examples by first finding a pattern for raising i to a power:.

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Imaginary Numbers and Negative Square Roots

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  1. Imaginary Numbers and Negative Square Roots

  2. Imaginary Numbers The imaginary number i is the square root of -1: Example: Evaluate (3i)2

  3. Generalizing Powers of i Evaluate the examples by first finding a pattern for raising i to a power: Divide the exponent by 4 and find the remainder. The remainder is where it falls in the pattern: Pattern Examples Divide by 4 Remainder After 4, it starts to repeat itself!

  4. Evaluating a Negative Square Root Calculate the value of the expression below: “Factor” out a -1 Rewrite Simplify

  5. The Calculator and Imaginary Numbers Hit “Mode” on your calculator. Locate where the word “REAL” is highlighted. Highlight “a + bi”instead. Now your calculator will work with imaginary numbers. The imaginary number “i”is found on the calculator by pressing “2ND” and “.” Examples: Use the calculator to evaluate the following.

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