simplify the expression 2-3i/1+5i

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simplify the expression 2-3i/1+5i

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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When i punched it into a calculator, it told me it was 2+2i
in order to simplify this type of equations rationalizing the denominator allows to get a simple equation

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Other answers:

Here you need to get rid of i from the denominator. To do that, you need to multiply the denominator by its complex conjugate. The complex conjugate of a + bi is a - bi Since you are working with a fraction, whatever you multiply the denominator by, you must multiply the numerator by the same thing.
The complex conjugate of 1 + 5i is 1 - 5i (1 - 5i)/(1 - 5i) = 1 becasue when you divide a number by itself (except 0) you get 1.
okay so 1 -8i?
So by multiplying your original fraction by (1 - 5i)/(1 - 5i) you are not changing the value, only the form.
2+2i
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so the answer is -1/2 - 1/2i
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Correct
thank you
wlcm

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