What is the reciprocal of #6+i#?
the answer is #(6-i)/37# but i dont know how. please explain!
the answer is
2 Answers
Explanation:
reciprocal:
Then you have to multiply by the complex conjugate to get the imaginary numbers out of the denominator:
complex conjugate is
The reciprocal of
However, it is bad practice to leave a complex number in the denominator.
To make the complex number become a real number we multiply by 1 in the form of
Please observe that we have done nothing to change the value because we are multiplying by a form that is equal to 1.
You may be asking yourself; "Why did I choose
The answer is because I know that, when I multiply
In this case
Also,