Write the complex number 81+i in standard form?

Tessa Leach

Tessa Leach

Answered

2022-02-02

Write the complex number 81+i in standard form?

Answer & Explanation

nebajcioz

nebajcioz

Expert

2022-02-03Added 15 answers

Step 1
In the division of complex number you need first to change the denominator into a pure real number. To do that you multiply and divide by the complex conjugate of the denominator, in this case, 1i. So:
81+i×1i1i=88i1+1=8282i=44i
Remember that: (1+i)(1i)=1i+ii2 but i2=1)2=1
giving: (1+i)(1i)=1+1=2

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