express sqrt-75 in terms of i.

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express sqrt-75 in terms of i.

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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5i(root(3))
Important to remember that a root of a negative is not expressed in the way we would with a non negative. This is one reason that (the invention of) i is so useful. Ok here we go √-75 could also be written √-(3 x 5 x 5) Which in turn could be written √-(3 x 25) or √-25 x √3 or alternatively √25 x √-3 You should use the second option because we can write √-25 as 5i and take it outside. Giving 5i √3 as your answer
  • l
first root : +i5sqrt3 second root : -i5sqrt3

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