Evaluate Negative Square Root: Evaluate the square root of a negative number. The square root of a negative number is not a real number; it involves an imaginary unit 'i' where i^2 = -1. Therefore, √-4 can be written as √(-1 * 4).Simplify Using Imaginary Unit: Simplify the expression using the imaginary unit. Since √-1 is equal to 'i' and √4 is equal to 2, we can rewrite √-4 as 2i.Check for Errors: Check for any mathematical errors. There are no mathematical errors in the previous steps. The expression has been simplified correctly using the properties of square roots and imaginary numbers.

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$\sqrt{-4}$

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Grade 7

Powers with negative bases

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\sqrt{-4}

Evaluate Negative Square Root: Evaluate the square root of a negative number. The square root of a negative number is not a real number; it involves an imaginary unit ' extit{i}' where $i^2 = -1$ . Therefore, $\sqrt{-4}$ can be written as $\sqrt{(-1 \times 4)}$ .
Simplify Using Imaginary Unit: Simplify the expression using the imaginary unit. $\newline$ Since $\sqrt{-1}$ is equal to ' $i$ ' and $\sqrt{4}$ is equal to $2$ , we can rewrite $\sqrt{-4}$ as $2i$ .
Check for Errors: Check for any mathematical errors. $\newline$ There are no mathematical errors in the previous steps. The expression has been simplified correctly using the properties of square roots and imaginary numbers.