Problem

Find the result of the following operation: 2+3i12i. Then, rationalize the denominator using complex conjugates.

Answer

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Answer

=45+75i

Steps

Step 1 :2+3i12i×1+2i1+2i=(2+3i)(1+2i)(12i)(1+2i)

Step 2 :=2+4i+3i+6i214i2

Step 3 :=2+7i61+4=4+7i5

Step 4 :=45+75i

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