How do you simplify \frac{5+8i}{6-i}?

Kamren Franco

Kamren Franco

Answered question

2022-01-30

How do you simplify 5+8i6i?

Answer & Explanation

Jasmine Herman

Jasmine Herman

Beginner2022-01-31Added 11 answers

Step 1
Multiply the conjugate.
5+8i6i×6+i6+i=30+5i+48i+8i236+6i6ii2=30+53i+8i236i2
Remember that because
i=1, i2=1
30+53i+8(1)36(1)=308+53i36+1=22+53i37=2237+5337i
Note that I've written the answer in the complex form a+bi

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