How do you simplify (4+3i)\div(2-i)?

Octavio Miller

Octavio Miller

Answered question

2022-02-02

How do you simplify (4+3i)÷(2i)?

Answer & Explanation

Alfred Mueller

Alfred Mueller

Beginner2022-02-03Added 10 answers

Step 1
The complex conjugate of a complex number a+bi is denoted a+bi and is givin by a+bi=abi. A useful property of the complex conjugate is that for any complex number z, we have zzR. We will use this property to simplify the given expression by multiplying the numerator and denominator by the conjugate of the denominator.
4+3i2i=(4+3i)(2+i)(2i)(2+i)
=8+6i+4i34+2i2i+1
=5+10i5
=1+2i

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