Question

Consider the complex numbers -12 and 25.

Select the simplified form of √(-12).

A: 2√3i
B: -2√3
C: -2√3i
D: 2√3

Answer 1

The simplified form of √(-12) is 2i√3.

Step-by-step explanation:

The question asks for the simplified form of √(-12) given the complex numbers -12 and 25. To simplify this expression, we can start by writing -12 as -4 imes 3. Then, we can rewrite √(-12) as √(-4 imes 3) and further simplify it as √(-4) imes √3. Since the square root of -4 is 2i, the simplified form of √(-12) is 2i√3, which is equivalent to option A: 2√3i.