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Use the imaginary number \( i \) to rewrite the expression below as a complex number. Simpli all radicals. \[ \sqrt{-49} \]

Ask by Willis Paul. in the United States
Feb 03,2025

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\[ \sqrt{-49} = 7i \]

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Bonus Knowledge

To rewrite the expression \( \sqrt{-49} \) as a complex number, we can use the fact that \( i \) is defined as \( i = \sqrt{-1} \). Thus, we can express \( \sqrt{-49} \) as follows: \[ \sqrt{-49} = \sqrt{49} \cdot \sqrt{-1} = 7i \] So, the complex number representation is \( 7i \). If you find dealing with imaginary numbers a bit tricky, just remember that \( i \) is your tool for handling square roots of negative numbers. Whenever you encounter a negative inside a square root, just factor out \( i \) to simplify and keep your calculations flowing smoothly!

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