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Question from Diana, a student:

Perform the operation. Write all answers in a + bi form.

-12
---------
7 - radical -1

Diana,

What you have to see here is that if √(-1) = i then

(7 - i)(7 + i) = 72 - 1 = 48

If this is something you don't know then expand (7 - i)(7 + i) and simplify.

Hence in your problem if you multiply the numerator and denominator by 7 + i then the denominator becomes 48.

Penny

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