Simplify $7 i - ( 3 - 25 i ) + \sqrt { - 81 }$ and write in standard form.
A) $- 3 - 9 i$
B) $- 3 + 41 i$
C) $29 i$
D) $- 3 - 41 i$
E) $3 + 41 i$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses and the square root. The square root of $-81$ is $9i$ (since $i = \sqrt{-1}$). So, the expression becomes $7i - 3 + 25i + 9i$. Combining like terms, you get $-3 + 41i$, which is in standard form $a + bi$.

Simplify 7i−(3−25i)+−817 i - ( 3 - 25 i ) + \sqrt { - 81 }7i−(3−25i)+−81​

Simplify $7 i - ( 3 - 25 i ) + \sqrt { - 81 }$