Apply definition of imaginary unit: We have: sqrt(-1) * sqrt(-1) Apply the definition of the imaginary unit. The square root of -1 is defined as the imaginary unit i. So, sqrt(-1) * sqrt(-1) = i * iMultiply imaginary units: Multiply the imaginary units. i * i = i^2Apply definition of i squared: Apply the definition of i squared. By definition, i^2 = -1. So, i * i = i^2 = -1

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$\sqrt{-1} \cdot \sqrt{-1}$

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\sqrt{-1} \cdot \sqrt{-1}

Apply definition of imaginary unit: We have: $\sqrt{-1} \times \sqrt{-1}$ $\newline$ Apply the definition of the imaginary unit. $\newline$ The square root of $-1$ is defined as the imaginary unit $i$ . $\newline$ So, $\sqrt{-1} \times \sqrt{-1} = i \times i$
Multiply imaginary units: Multiply the imaginary units. $i \times i = i^2$
Apply definition of $i$ squared: Apply the definition of $i$ squared. $\newline$ By definition, $i^2 = -1$ . $\newline$ So, $i \times i = i^2 = -1$