Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-15)=+- ◻

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Express the radical using the imaginary unit,  i. Express your answer in simplified form.  +-sqrt(-15)=+-  ◻

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Recognize square root of negative number: First, we recognize that the square root of a negative number involves the imaginary unit i, where i^2 = -1. We can rewrite the square root of -15 as the square root of -1 times the square root of 15. ±sqrt(-15) = ±sqrt(-1 * 15)Replace sqrt(-1) with i: Next, we know that sqrt(-1) is the definition of the imaginary unit i. So we can replace sqrt(-1) with i. ±sqrt(-1 * 15) = ±i * sqrt(15)Check if radical can be simplified: Now, we have the expression in terms of the imaginary unit i. However, we need to check if the radical sqrt(15) can be simplified further. Since 15 is not a perfect square and does not have any perfect square factors other than 1, the radical is already in its simplest form. ±i * sqrt(15) = ±i * sqrt(15)Write expression in simplified form: Finally, we write the expression in its simplified form with the ± sign indicating both the positive and negative possibilities. ±i * sqrt(15) = ±i√15

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-15}= \pm \square$

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Express the radical using the imaginary unit, i i i.\newlineExpress your answer in simplified form.\newline±−15=±□ \pm \sqrt{-15}= \pm \square ±−15​=±□

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-15}= \pm \square$