Problem

复数 z=12+i (其中 i 为虚数单位) 的虚部为

Answer

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Answer

Finally, the imaginary part of the complex number z=12+i is 13

Steps

Step 1 :First, we multiply the numerator and denominator by the conjugate of the denominator, which is 2i.

Step 2 :z=12+i×2i2i

Step 3 :z=2i(2+i)(2i)

Step 4 :z=2i22+i2

Step 5 :z=2i41

Step 6 :z=2i3

Step 7 :Finally, the imaginary part of the complex number z=12+i is 13

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