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saul85 [17]
3 years ago
12

Which of the following is equal to √-12?

Mathematics
2 answers:
iren [92.7K]3 years ago
3 0

Answer:

2i√3

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors.

Hope this helps! :) ~Zane

yarga [219]3 years ago
3 0

For this case we must find an expression equivalent to:

\sqrt {-12}

Then, rewriting:

\sqrt {-1 (12)} =\\\sqrt {-1} * \sqrt {12} =

We know that:

i = \sqrt {-1}\\12 = 4 * 3 = 2 ^ 2 * 3

Then we have:

i * \sqrt {2 ^ 2 * 3} =\\i * 2 \sqrt {3} =

Finally we have:

2i \sqrt {3}

Answer:2i \sqrt {3}

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