How do you simplify (2-3i) \div (1+5i)?

Kristina Mcclain

Kristina Mcclain

Answered question

2022-02-01

How do you simplify (23i)÷(1+5i)?

Answer & Explanation

caoireoilns

caoireoilns

Beginner2022-02-02Added 12 answers

Multiply dividend and divisor by the Complex conjugate of the divisor then simplify to find:
(23i)÷(1+5i)=1212i
Explanation:
The Complex conjugate of the divisor is (15i).
If we multiply both the dividend and the divisor by (15i) and simplify then we will get a Real divisor without altering the quotient...
23i1+5i
=(23i)(15i)(1+5i)(15i)
=210i3i+15i2125i+5i(5i)2
=1313i1+25
=13(1+i)26
=1212i

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