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Express the radical using the imaginary unit, 
i.
Express your answer in simplified form.

+-sqrt(-38)=+-◻

Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±38=± \pm \sqrt{-38}= \pm \square

Full solution

Q. Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±38=± \pm \sqrt{-38}= \pm \square
  1. Express as product of square roots: Express ±38\pm\sqrt{-38} as the product of square roots and 1\sqrt{-1}. ±38=±1×38\pm\sqrt{-38} = \pm\sqrt{-1 \times 38}
  2. Recognize imaginary unit: Recognize that 1\sqrt{-1} is the imaginary unit ii.±1×38=±1×38\pm\sqrt{-1 \times 38} = \pm\sqrt{-1} \times \sqrt{38}=±i×38= \pm i \times \sqrt{38}
  3. Simplify expression: Simplify the expression by keeping the imaginary unit ii and the square root of the positive number.±i38=±i38\pm i \sqrt{38} = \pm i\sqrt{38}

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