Express the radical using the imaginary unit, i sqrt{-27}

asked Mar 19, 2023 50.2k views

13 votes

by SRB

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4 votes

Answer:

Explanation:

i
$i √(-27) =i√(-1 * 27) =i√(27i^2) =i * i√(27) =i^2√(9 * 3) \\=-1* 3√(3) \\=-3√(3)$

4.8k points

8 votes

Answer:

27i

Explanation:

Since we define i as
√(-1) ,
√(-27) = 27i

Wcy answered Mar 23, 2023

by Wcy

4.7k points

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