Simplify sqrt(-27). If the answer is radical use sqrt(5) to denote sqrt5 (use the correct radicand in the problem) If the answer is complex use i.

Question

Simplify  sqrt(-27). If the answer is radical use sqrt(5) to denote  sqrt5 (use the correct radicand in the problem) If the answer is complex use  i.

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Identify Number and Sign: Identify the number inside the square root and its sign. The number inside the square root is -27, which is a negative number.Use Imaginary Unit: Recognize that the square root of a negative number involves the imaginary unit i. The square root of a negative number is not a real number. It can be expressed using the imaginary unit i, where i is defined as sqrt(-1).Factorize -27: Factor -27 into -1 and 27 to separate the negative sign from the positive part. -27 can be written as (-1) * 27.Apply Square Root Separately: Apply the square root to both factors separately. sqrt(-27) can be written as sqrt(-1) * sqrt(27).Simplify sqrt(-1): Simplify the square root of -1 to i. sqrt(-1) is equal to i.Simplify sqrt(27): Simplify the square root of 27. 27 is 3^3, so sqrt(27) is sqrt(3^2 * 3) which simplifies to 3 * sqrt(3).Combine Results: Combine the results from Step 5 and Step 6. The simplified form of sqrt(-27) is i * 3 * sqrt(3).

Simplify $\sqrt{-27}$ . $\newline$ If the answer is radical use $\sqrt{5}$ to denote $\sqrt{5}$ (use the correct radicand in the problem) $\newline$ If the answer is complex use $i$ .

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Simplify −27\sqrt{-27}−27​. \newlineIf the answer is radical use 5\sqrt{5}5​ to denote 5\sqrt{5}5​ (use the correct radicand in the problem) \newlineIf the answer is complex use iii.

Simplify $\sqrt{-27}$ . $\newline$ If the answer is radical use $\sqrt{5}$ to denote $\sqrt{5}$ (use the correct radicand in the problem) $\newline$ If the answer is complex use $i$ .