How do you simplify \frac{7i}{8+i}?

sputneyoh

sputneyoh

Answered question

2022-01-18

How do you simplify 7i8+i?

Answer & Explanation

Jim Hunt

Jim Hunt

Beginner2022-01-19Added 45 answers

7i8+i=765+5665i
Explanation:
To simplify 7i8+i, we should multiply numerator and denominator by the complex conjugate of the denominator.
As complex conjugate of the denominator (8+i) tex{is} (8i), we have
7i8+i=7i×(8i)(8+i)(8i)
=56i7i264+8i8ii2
=56i7×(1)64+1
=7+56i65
=765+5665i
Piosellisf

Piosellisf

Beginner2022-01-20Added 40 answers

Given: 7i8+i
Lets
alenahelenash

alenahelenash

Expert2022-01-24Added 556 answers

7i8+i=7i×(8i)(8+i)(8i) =56i7i264+8i8ii2 =56i7×(1)64+1 =7+56i65 =765+5665i

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