How do you simplify \frac{2+i}{7+5i}?

Alex Cervantes

Alex Cervantes

Answered question

2022-01-30

How do you simplify 2+i7+5i?

Answer & Explanation

bemolizisqt

bemolizisqt

Beginner2022-01-31Added 16 answers

Multiply by the complex conjugate of the denominator.
2+i7+5i75i75i=1410i+7i5i24935i+35i25i2=143i5i24925i2
Recall that i=1,so i2=1.
143i5(1)4925(1)=193i74=1974374i
Note that the answer is written in the complex form a+bi.

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