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) (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:
\left( \frac{3 - i}{3 - i}\right))
Notice the difference of two squares factorization in the denominators and do the multiplication:
\left( \frac{3 - i}{3 - i}\right) = \frac {3 - i}{9 - (-1)} = \frac {3-i}{10})
John
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