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Use the imaginary number i to rewrite the expression below as a c all radicals. -sqrt (-41) square

Problemas

Use the imaginary number i to rewrite the expression below as a c
all radicals.
-sqrt (-41)
square

Use the imaginary number i to rewrite the expression below as a c all radicals. -sqrt (-41) square

Solución

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Claudiaélite · Tutor durante 8 años
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\(-\sqrt{41}i\)

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## Step 1<br />The given expression is \(-\sqrt{-41}\). The square root of a negative number can be expressed using the imaginary unit \(i\), where \(i = \sqrt{-1}\).<br /><br />## Step 2<br />To rewrite the expression using \(i\), we can factor out \(i\) from the square root. This gives us \(-\sqrt{-41} = -\sqrt{41} \cdot \sqrt{-1}\).<br /><br />## Step 3<br />Since \(\sqrt{-1} = i\), the expression simplifies to \(-\sqrt{41}i\).
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