Perform the indicated operations and write the result in standard form.
-$\sqrt { - 7 } - \sqrt { - 144 }$
A) $\sqrt { 7 } i - 12$
B) $\sqrt { 7 \mathrm { i } } - 12 \mathrm { i }$
C) $i ( \sqrt { 7 } + 12 )$
D) $\mathrm { i } ( \sqrt { 7 } - 12 )$

Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed as the square root of the positive number times $i$, where $i$ is the imaginary unit. Thus, $\sqrt{-7} = \sqrt{7}i$ and $\sqrt{-144} = \sqrt{144}i = 12i$. Therefore, the expression simplifies to $\sqrt{7}i - 12i = i(\sqrt{7} - 12)$.

Perform the Indicated Operations and Write the Result in Standard −7−−144\sqrt { - 7 } - \sqrt { - 144 }−7​−−144​

Perform the Indicated Operations and Write the Result in Standard $\sqrt { - 7 } - \sqrt { - 144 }$