Perform the indicated operations and write the result in standard form.
-$4 \sqrt { - 75 } + 3 \sqrt { - 27 }$
A) $29 \mathrm { i } \sqrt { 3 }$
B) $- 29 \sqrt { 3 }$
C) $29 \sqrt { 3 }$
D) $- 29 \mathrm { i } \sqrt { 3 }$

Question

Quizplus · Accepted Answer

First, simplify each term: $4 \sqrt{-75} = 4 \sqrt{75}i = 4 \sqrt{25 \cdot 3}i = 4 \cdot 5 \sqrt{3}i = 20\sqrt{3}i$. Similarly, $3 \sqrt{-27} = 3 \sqrt{27}i = 3 \cdot 3 \sqrt{3}i = 9\sqrt{3}i$. Adding these gives $20\sqrt{3}i + 9\sqrt{3}i = 29\sqrt{3}i$.

Perform the Indicated Operations and Write the Result in Standard 4−75+3−274 \sqrt { - 75 } + 3 \sqrt { - 27 }4−75​+3−27​

Perform the Indicated Operations and Write the Result in Standard $4 \sqrt { - 75 } + 3 \sqrt { - 27 }$