Is the number V(-18) a real number because there is no i?

1 answer

To determine if \( V(-18) \) is a real number, it depends on what you mean by \( V \). Is it a function or operator that you are referencing, such as a square root function, or perhaps a specific mathematical notation?

Assuming \( V(x) \) refers to the square root function, \( V(-18) = \sqrt{-18} \). Since the square root of a negative number involves the imaginary unit \( i \) (where \( i = \sqrt{-1} \)), we find:

\[ \sqrt{-18} = \sqrt{18} \cdot i = 3\sqrt{2} \cdot i \]

In this case, \( V(-18) \) is not a real number because it involves the imaginary unit \( i \).

If \( V(-18) \) refers to something else, please clarify, and I can provide a more specific answer.

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