Question
√-10 in simplest radical form.
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Answered by
GPT-4o mini
To simplify \(\sqrt{-10}\), you can use the imaginary unit \(i\), which is defined as \(\sqrt{-1}\).
First, we can express \(-10\) as follows:
\[
\sqrt{-10} = \sqrt{10} \cdot \sqrt{-1} = \sqrt{10} \cdot i
\]
Thus, the simplest radical form of \(\sqrt{-10}\) is:
\[
\sqrt{-10} = i\sqrt{10}
\]
First, we can express \(-10\) as follows:
\[
\sqrt{-10} = \sqrt{10} \cdot \sqrt{-1} = \sqrt{10} \cdot i
\]
Thus, the simplest radical form of \(\sqrt{-10}\) is:
\[
\sqrt{-10} = i\sqrt{10}
\]
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