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Question

Simplify the expression?
-5 + i/2i

Answer 1

To simplify the expression -5 + i/2i, we need to rationalize the denominator.

First, we know that the imaginary unit i is defined as the square root of -1.

The expression can be rewritten as:

-5 + (i/2) * (-2i/2i)

Simplifying further, we have:

-5 + (-2i^2/2i)

Since i^2 is equal to -1, we can substitute it in the expression:

-5 + (-2 * -1 / 2i)

Finally, simplifying the expression, we get:

-5 + 2/2i

Since 2 divided by 2 is equal to 1, we can further simplify:

-5 + 1/i

Therefore, the simplified expression is -5 + 1/i.