Perform the indicated operation using the standard form. $$5 i ( 1 - \sqrt { 2 } i )$$
A) $5 i ( 1 - \sqrt { 2 } i ) \approx 7.07 + 5 i$
B) $5 i ( 1 - \sqrt { 2 } i ) \approx 5 + 7.07 i$
C) $5 i ( 1 - \sqrt { 2 } i ) \approx 1 + 5 \sqrt { 2 i }$
D) $5 i ( 1 - \sqrt { 2 } i ) \approx 5 - 7.07 i$
E) $5 i ( 1 - \sqrt { 2 } i ) \approx 7.07 - 5 i$

Question

Perform the indicated operation using the standard form.​ $$5 i ( 1 - \sqrt { 2 } i )$$ ​
A) $5 i ( 1 - \sqrt { 2 } i ) \approx 7.07 + 5 i$
B)​ $5 i ( 1 - \sqrt { 2 } i ) \approx 5 + 7.07 i$
C)​ $5 i ( 1 - \sqrt { 2 } i ) \approx 1 + 5 \sqrt { 2 i }$
D)​ $5 i ( 1 - \sqrt { 2 } i ) \approx 5 - 7.07 i$
E)​ $5 i ( 1 - \sqrt { 2 } i ) \approx 7.07 - 5 i$

Quizplus · Accepted Answer

Multiplying $5i$ by $1 - \sqrt{2}i$ gives $5i - 5\sqrt{2}i^2$. Since $i^2 = -1$, the expression simplifies to $5i + 5\sqrt{2}$, which approximates to $7.07 + 5i$.

Perform the Indicated Operation Using the Standard Form 5i(1−2i)5 i ( 1 - \sqrt { 2 } i )5i(1−2​i)

Perform the Indicated Operation Using the Standard Form $5 i ( 1 - \sqrt { 2 } i )$