How do you simplify \frac{8+10i}{8+6i} and write in a+bi form?

kuntungw3

kuntungw3

Answered question

2022-01-31

How do you simplify 8+10i8+6i and write in a+bi form?

Answer & Explanation

goleuedigdp

goleuedigdp

Beginner2022-02-01Added 7 answers

Step 1
Multiply the numerator and denominator by the conjugate of the denominator :
8+10i8+6i=(8+10i)×(86i)(8+6i)×(86i)
=6448i+80i60i26436i2
=64+60(i2)48i+80i64+36(i2)
124+32i100
Simplifiying:
31+8i25

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