Find the product. Write the answer in standard form.
-$( \sqrt { 3 } + 6 i ) ( \sqrt { 3 } - 6 i )$
A) $- 3$
B) 39
C) $3 - 36 \mathrm { i }$
D) $3 + 36 \mathrm { i }$

Question

Quizplus · Accepted Answer

To find the product, use the formula for the product of two conjugates: $(a + bi)(a - bi) = a^2 - (bi)^2$. Here, $a = \sqrt{3}$ and $b = 6$, so the product is $(\sqrt{3})^2 - (6i)^2 = 3 - (-36) = 39$.

Find the Product (3+6i)(3−6i)( \sqrt { 3 } + 6 i ) ( \sqrt { 3 } - 6 i )(3​+6i)(3​−6i)

Find the Product $( \sqrt { 3 } + 6 i ) ( \sqrt { 3 } - 6 i )$