Question
Write square root of, minus, 5, end square root
−5
in simplest radical form.
−5
in simplest radical form.
Answers
GPT-4o mini
The square root of \(-5\) can be expressed in terms of imaginary numbers, since the square root of a negative number involves the imaginary unit \(i\), where \(i = \sqrt{-1}\).
To express \(\sqrt{-5}\) in simplest radical form, we write:
\[
\sqrt{-5} = \sqrt{5} \cdot \sqrt{-1} = \sqrt{5} \cdot i
\]
Thus, the simplest radical form of \(\sqrt{-5}\) is:
\[
i\sqrt{5}
\]
To express \(\sqrt{-5}\) in simplest radical form, we write:
\[
\sqrt{-5} = \sqrt{5} \cdot \sqrt{-1} = \sqrt{5} \cdot i
\]
Thus, the simplest radical form of \(\sqrt{-5}\) is:
\[
i\sqrt{5}
\]