Perform Operations with Square Roots of Negative Numbers
Perform the indicated operations and write the result in standard form.
-$$( \sqrt { - 9 } ) ( \sqrt { - 4 } )$$
A) $- 6$
B) $6 \mathrm { i } ^ { 2 }$
C) 6
D) $- 6 \mathrm { i }$

Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed using the imaginary unit $i$, where $i = \sqrt{-1}$. Thus, $\sqrt{-9} = 3i$ and $\sqrt{-4} = 2i$. Multiplying these gives $3i \times 2i = 6i^2$. Since $i^2 = -1$, the result is $6 \times -1 = -6$.

Perform Operations with Square Roots of Negative Numbers Perform the Indicated

Perform Operations with Square Roots of Negative Numbers
Perform the Indicated