Question

find the modulus and argument of the complex number 5-i / 2-3i

Answer 1

Firstly rationalize the denominator...

Multiply numerator and denominator with conjugate of 2 - 3i ...

Answer 2

okay .. thanks :)

Answer 3

you can do that but there is a simpler method also :
for
z= p/q where z,p,q are all complex nos,
|z| = | p/q | = |p| / |q|
and arg(z) = arg( p/q ) = arg(p) - arg(q)

both shall yield the same ans