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Write sqrt(-8) in simplest radical form. Answer:

Write −8 \sqrt{-8} in simplest radical form.\newlineAnswer:

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Full solution

Q. Write −8 \sqrt{-8} in simplest radical form.\newlineAnswer:
  1. Express as Product: Express −8\sqrt{-8} as the product of square roots and −1\sqrt{-1}.−8=−1×8=−1×8\sqrt{-8} = \sqrt{-1 \times 8} = \sqrt{-1} \times \sqrt{8}
  2. Use Imaginary Unit: Express −1\sqrt{-1} as the imaginary unit ii and simplify 8\sqrt{8}.−8=−1×8=i×4×2=i×4×2\sqrt{-8} = \sqrt{-1} \times \sqrt{8} = i \times \sqrt{4 \times 2} = i \times \sqrt{4} \times \sqrt{2}
  3. Simplify Square Root: Simplify the square root of 44, which is a perfect square.−8=i×4×2=i×2×2=2i×2\sqrt{-8} = i \times \sqrt{4} \times \sqrt{2} = i \times 2 \times \sqrt{2} = 2i \times \sqrt{2}

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