SOLUTION: Symplify the imaginary number expression, write the result in standard a+bi form. 1/3+i=

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Question 190028: Symplify the imaginary number expression, write the result in standard a+bi form.
1/3+i=
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I presume you mean:



rather than




Use parentheses, like this 1/(3 + i), next time so that we don't have to guess what you mean.

You need to multiply the fraction by an expression that is equal to 1, but that is in a form that has the conjugate of your denominator in the expression's denominator. If you have a complex number the conjugate of that complex number is . For this problem your conjugate is

An expression equal to 1 with in the denominator can only be:



Multiply this times your original expression:



Notice the difference of two squares factorization in the denominators and do the multiplication:



John