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Which choice is equivalent to the expression below?

√-12

A. 2√3i

B. 2i√3

C. 12i

D. -2√3

E. -12i

Which choice is equivalent to the expression below? √-12 A. 2√3i B. 2i√3 C. 12i D-example-1

1 Answer

6 votes

Answer:

Explanation:

Remark

√-12

The square root of -12 must have an i in it somewhere. If it does not, then the minus sign stays under the root sign. If you take the root of -1 you get i, and that is outside √ sign.

Solution

A is incorrect. i is on the outside of the root sign.

B is the answer.

C does not seem to take the square root of anything except -1 so it is incorrect.

D Has no i anywhere and the -1 is incorrectly placed. D is wrong

E is just wrong. The minus should disappear once the square root of -1 is taken. 12 has a root that has not been declared.

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