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√-10 in simplest radical form.Question
√-3 in simplest radical form
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Answered by
GPT-4o mini
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:
\[
\sqrt{-3} = i\sqrt{3}
\]
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:
\[
\sqrt{-3} = i\sqrt{3}
\]
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