Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-36)=+-

Recognizing the imaginary unit: First, we recognize that the square root of a negative number involves the imaginary unit i, where i^2 = -1. We can rewrite the expression ±sqrt(-36) by factoring out the negative under the radical as the product of sqrt(-1) and sqrt(36).Simplifying the square root of 36: Next, we simplify the square root of 36, which is a perfect square. The square root of 36 is 6.Expressing sqrt(-1) as i: Now, we can express sqrt(-1) as the imaginary unit i. Therefore, ±sqrt(-36) becomes ±i * 6.Combining the ± sign with 6i: Finally, we combine the ± sign with the 6i to get the simplified form of the expression, which is ±6i.

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

+-sqrt(-36)=+-

Express the radical using the imaginary unit, $i$ . $\newline$ Express your answer in simplified form. $\newline$ $\pm \sqrt{-36}= \pm$

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Introduction to complex numbers

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Q. Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-36}= \pm

Recognizing the imaginary unit: First, we recognize that the square root of a negative number involves the imaginary unit $i$ , where $i^2 = -1$ . We can rewrite the expression $\pm\sqrt{-36}$ by factoring out the negative under the radical as the product of $\sqrt{-1}$ and $\sqrt{36}$ .
Simplifying the square root of $36$ : Next, we simplify the square root of $36$ , which is a perfect square. The square root of $36$ is $6$ .
Expressing $\sqrt{-1}$ as $i$ : Now, we can express $\sqrt{-1}$ as the imaginary unit $i$ . Therefore, $\pm\sqrt{-36}$ becomes $\pm i \times 6$ .
Combining the $\pm$ sign with $6i$ : Finally, we combine the $\pm$ sign with $6i$ to get the simplified form of the expression, which is $\pm 6i$ .