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Simplify 2/i

Problem

2/i

Solution

  1. Identify the goal, which is to rationalize the denominator by removing the imaginary unit i from the bottom of the fraction.

  2. Multiply both the numerator and the denominator by i to create a real number in the denominator.

  3. Apply the definition of the imaginary unit, where i2=−1

  4. Simplify the resulting expression by dividing the numerator by −1

Final Answer

2/i=−2*i


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