SOLUTION: Evaluate the expression 3-i/7-3i What does the real number a equal? What does the real number b equal? Please write the result in the form a+bi

Question 1001233: Evaluate the expression 3-i/7-3i
What does the real number a equal?
What does the real number b equal?
Please write the result in the form a+bi
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Evaluate the expression 3-i/7-3i
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To rationalize it (make the denominator a real number),
multiply the NUM and the DEN by the conjugate of the DEN 7+3i.
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(3-i)/(7-3i) Use parentheses.
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(3-i)*(7+3i)/((7-3i)*(7+3i))
= (21 + 2i - 3i^2)/(49-9i^2)
= (21 + 2i + 3)/(49+9)
= (24 + 2i)/58

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