The expression can be rewritten with a real denominator (using the complex conjugate) in the form
where , , and are positive, co-prime integers. What is the sum of , , and ?
Details and assumptions
is the the imaginary unit, defined by .
Consider the complex numbers If the value of is , what is the value of ?
Details and assumptions
denotes the complex conjugate of the complex number .
is the imaginary number that satisfies .
For complex numbers and what is the value of
Details and assumptions
denotes the complex conjugate of the complex number .
is the imaginary number that satisfies .
Consider the complex numbers What is the value of ?
Details and assumptions
denotes the complex conjugate of the complex number .
is the imaginary number that satisfies .
Let and be the complex numbers
If can be expressed as where and are coprime positive integers, what is
Details and assumptions
denotes the complex conjugate of the complex number .
is the imaginary number that satisfies .