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Example 56. Start with = = 3+ 4i and w = 2-i. The complex conjugates are = = 3 -4i and w = 2+i. The

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Example 56. Start with = = 3+ 4i and w = 2-i. The complex conjugates are = = 3 -4i and w = 2+i. The absolute values are |=| = 5 and |w| = v5. The inverses are Finally, we can divide EIN NIE Another way to think about this: make the denominator real (similar to the way you'd rationalize the denominator) by multiplying top and bottom by the conjugate of the denominator (i.e., "real-ize" the denominator). Thus, 3+ 4i 1 3 - 4i = 3+4i 3-41 3 - 4i = 32 - (41 )2 3 -4i 32 + 42 3 - 41 25 Similarly for _

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