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jmc

algebra junior

Problem

Riproarin' Ringo was roping a recalcitrant dogie. Ringo decided to give the dogie a reprieve by calculating before riding after the dogie. What answer should Ringo have found?
Solution
We know that magnitudes of complex numbers are multiplicative: the magnitude of is the product . Thus, The magnitude of is ; thus our answer is . Ringo didn't give much of a reprieve.
Final answer
16