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sergey [27]
3 years ago
6

Write in terms of i . Simplify your answer as much as possible. Square root -27

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Answer:

3i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} and \sqrt{-1} = i

Given

\sqrt{-27}

= \sqrt{9(3)(-1)}

= \sqrt{9} × \sqrt{3} × \sqrt{-1}

= 3i\sqrt{3}

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