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

+-sqrt(-22)=+-◻

Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±22=± \pm \sqrt{-22}= \pm \square

Full solution

Q. Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±22=± \pm \sqrt{-22}= \pm \square
  1. Split and Simplify: Express ±22\pm\sqrt{-22} as the product of square roots and 1\sqrt{-1}.\newline±22=±1×22\pm\sqrt{-22} = \pm\sqrt{-1 \times 22}
  2. Express with ii: Express ±1×22\pm\sqrt{-1 \times 22} as a complex number by using ii.\newline±22=±1×22\pm\sqrt{-22} = \pm\sqrt{-1} \times \sqrt{22}
  3. Replace with i: Replace 1\sqrt{-1} with ii to get the expression in terms of the imaginary unit.\newline±22=±i22\pm\sqrt{-22} = \pm i \cdot \sqrt{22}
  4. Final Form: Since there is no further simplification possible for 22\sqrt{22}, the expression is already in its simplest form.\newline±22=±i22\pm\sqrt{-22} = \pm i \cdot \sqrt{22}

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