Simplify, if possible.
\[
\sqrt{-12}
\]
\[
\sqrt{-12}=
\]
(Simplify your answer. Type an exact answer, using radicals and $i$ needed.)

Answer

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Answer

Final Answer: $\sqrt{-12} = \boxed{2\sqrt{3}i}$

Steps

Step 1 ：The square root of a negative number is not a real number, but it can be expressed as a complex number. The square root of -1 is represented as 'i' in complex numbers.

Step 2 ：So, the square root of -12 can be written as the square root of 12 times the square root of -1, which is 'i'.

Step 3 ：The square root of 12 can be simplified further by factoring it into 4 and 3, where the square root of 4 is 2.

Step 4 ：So, the square root of -12 is 2 times the square root of 3 times 'i'.

Step 5 ：Final Answer: $\sqrt{-12} = \boxed{2\sqrt{3}i}$

Simplify, if possible.\[\sqrt{-12}\]\[\sqrt{-12}=\](Simplify your answer. Type an exact answer, using radicals and $i$ needed.)

Answer

Popular Problems

Simplify, if possible.
\[
\sqrt{-12}
\]
\[
\sqrt{-12}=
\]
(Simplify your answer. Type an exact answer, using radicals and $i$ needed.)