Evaluate the expression $- ( 1 - \sqrt { - 2 } ) + ( 1 - ( \sqrt { - 1 } - \sqrt { - 2 } ) )$ and write the result in the form $a + b i$ .
A) $i ( 2 \sqrt { 2 } - 1 )$
B) $0 + i ( 2 \sqrt { 2 } - 1 )$
C) $2 \sqrt { 2 } - 1$
D) $2 \sqrt { 2 } - i$
E) $1 - \sqrt { 2 } i$

Question

Quizplus · Accepted Answer

The expression simplifies to $0 + i ( 2 \sqrt { 2 } - 1 )$. This is because $\sqrt{-1} = i$ and $\sqrt{-2} = \sqrt{2}i$, leading to the simplification of the given expression to $0 + i ( 2 \sqrt { 2 } - 1 )$.

Evaluate the Expression −(1−−2)+(1−(−1−−2))- ( 1 - \sqrt { - 2 } ) + ( 1 - ( \sqrt { - 1 } - \sqrt { - 2 } ) )−(1−−2​)+(1−(−1​−−2​))

Evaluate the Expression $- ( 1 - \sqrt { - 2 } ) + ( 1 - ( \sqrt { - 1 } - \sqrt { - 2 } ) )$