Multiply. Write the result in the form a + bi.
-$( \sqrt { 8 } + 2 \mathrm { i } ) ( \sqrt { 8 } - 2 \mathrm { i } )$
A) $8 - 2 \mathrm { i } \sqrt { 2 }$
B)4
C)12
D)8 - 4i

Question

Quizplus · Accepted Answer

To multiply the given complex numbers, use the formula $(a+bi)(a-bi) = a^2 + b^2$. Here, $a = \sqrt{8}$ and $b = 2$, so the multiplication gives $(\sqrt{8})^2 + (2)^2 = 8 + 4 = 12$.

Multiply Write the Result in the Form a + Bi (8+2i)(8−2i)( \sqrt { 8 } + 2 \mathrm { i } ) ( \sqrt { 8 } - 2 \mathrm { i } )(8​+2i)(8​−2i)

Multiply Write the Result in the Form a + Bi $( \sqrt { 8 } + 2 \mathrm { i } ) ( \sqrt { 8 } - 2 \mathrm { i } )$