Perform the indicated operations and write the result in standard form.
-$$\sqrt { - 2 } - \sqrt { - 100 }$$
A) $\sqrt { 2 \mathrm { i } } - 10 \mathrm { i }$
B) $\mathrm { i } ( \sqrt { 2 } + 10 )$
C) $\sqrt { 2 } \mathrm { i } - 10$
D) $\mathrm { i } ( \sqrt { 2 } - 10 )$

Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed in terms of i (the imaginary unit), where $i = \sqrt{-1}$. Thus, $\sqrt{-2} = \sqrt{2}i$ and $\sqrt{-100} = \sqrt{100}i = 10i$. Therefore, $\sqrt{-2} - \sqrt{-100} = \sqrt{2}i - 10i = i(\sqrt{2} - 10)$.

Perform the Indicated Operations and Write the Result in Standard −2−−100\sqrt { - 2 } - \sqrt { - 100 }−2​−−100​

Perform the Indicated Operations and Write the Result in Standard $\sqrt { - 2 } - \sqrt { - 100 }$