Math  /  Algebra

Question6. 29\sqrt{-29}

Studdy Solution
Express 29\sqrt{-29} in terms of the imaginary unit. We can rewrite 29\sqrt{-29} as 29×1\sqrt{29} \times \sqrt{-1}.
29=291 \sqrt{-29} = \sqrt{29} \cdot \sqrt{-1}
Since 1=i\sqrt{-1} = i, we have:
29=29i \sqrt{-29} = \sqrt{29} \cdot i
The expression for 29\sqrt{-29} is:
29i \boxed{\sqrt{29} \cdot i}

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