Answer:
(i - 2)/5
Step-by-step explanation:
To simplify, we would rationalize.
To rationalize means to multiply the given expression by 1 in the form of the conjugate of the denominator divided by itself. The conjugate of the denominator is the result obtained when the sign between it's elements are changed.
We also know that the product of i and is -1, this is also a key consideration in simplifying the given expression. As such,
-3+i/7+i
= -3+i/7+i * 7-i/7-i
= -21 +3i +7i +1 / 49 - -1
= 10i - 20 / 50
= i -2 / 5
