Dividing complex numbers can be pretty simple once you learn how. Here’s an easy way to do it:
Reciprocal: Let’s say you have a complex number, like ( z = a + bi ). When you want to divide ( w ) by ( z ), it might seem hard at first. But, you can make it easier by multiplying both the top (numerator) and the bottom (denominator) by the conjugate of ( z ), which is ( a - bi ).
Multiply: If you want to divide ( w = c + di ) by ( z = a + bi ), here’s what you do:
Simplify: Now you'll get:
Just split the result into the real part and the imaginary part, and you’re finished!
With a little practice, it’ll feel super easy!
Dividing complex numbers can be pretty simple once you learn how. Here’s an easy way to do it:
Reciprocal: Let’s say you have a complex number, like ( z = a + bi ). When you want to divide ( w ) by ( z ), it might seem hard at first. But, you can make it easier by multiplying both the top (numerator) and the bottom (denominator) by the conjugate of ( z ), which is ( a - bi ).
Multiply: If you want to divide ( w = c + di ) by ( z = a + bi ), here’s what you do:
Simplify: Now you'll get:
Just split the result into the real part and the imaginary part, and you’re finished!
With a little practice, it’ll feel super easy!