Write the number as a product of a real number and $$ i $$. $$ \sqrt{-13} $$

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UpStudy AI · Accepted Answer

1. Rewrite the square root of a negative number:
   $$
   \sqrt{-13} = \sqrt{13 \cdot (-1)}
   $$

2. Use the property of square roots:
   $$
   \sqrt{13 \cdot (-1)} = \sqrt{13} \cdot \sqrt{-1}
   $$

3. Recognize that:
   $$
   \sqrt{-1} = i
   $$

4. Therefore, express the result as a product of a real number and $$ i $$:
   $$
   \sqrt{-13} = \sqrt{13} \cdot i
   $$
$$\sqrt{-13} = \sqrt{13} \cdot i$$

Write the number as a product of a real number and \( i \). \( \sqrt{-13} \)

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