√-3 in simplest radical form

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

The expression \( \sqrt{-3} \) can be simplified using the concept of imaginary numbers. The square root of a negative number involves the imaginary unit \( i \), where \( i = \sqrt{-1} \).

To simplify \( \sqrt{-3} \):

\[ \sqrt{-3} = \sqrt{3} \cdot \sqrt{-1} = \sqrt{3} \cdot i \]

Therefore, in simplest radical form, \( \sqrt{-3} \) can be expressed as:

\[ \sqrt{-3} = i\sqrt{3} \]