Question

-3-√-48÷36
OPERATIONS INVOLVING SQUARE ROOTS OF NEG NUMBERS

Answer 1

does this mean
\[\frac{-3-\sqrt{-48}}{36}\]

Answer 2

YES

Answer 3

\[\sqrt{-48}=\sqrt{16\times 3\times -1}=4\sqrt{3}\sqrt{-1}=4\sqrt{3}i\]

Answer 4

so you have
\[\frac{-3-4\sqrt{3}i}{36}\]

Answer 5

can write in standard form as
\[-\frac{1}{12}-\frac{\sqrt{3}}{9}i\]