What is (2sqrt(3)+4i)(sqrt(3)-8i) ?

The solution to (2sqrt(3)+4i)(sqrt(3)-8i) is 38-12sqrt(3)i

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simplify (2sqrt(3)+4i)(sqrt(3)-8i)

simplify

(23 + 4 i) (3 - 8 i)

38 - 123 i

Solution steps

(23 + 4 i) (3 - 8 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (233 - 4 (- 8)) + (23 (- 8) + 43) i

Simplify

(233 - 4 (- 8)) + (23 (- 8) + 43) i : 38 - 123 i

= 38 - 123 i

\frac{7}{5} \cdot \frac{1}{2}

- 3 x^{2} + 10 x^{2}

(3 w^{2} + 2 w - 6) - (9 + 3 w^{2} + 7 w)

\frac{5 - 2 i}{- 4 - 3 i}

\frac{π ( 16 )}{4}

What is (2sqrt(3)+4i)(sqrt(3)-8i) ?
The solution to (2sqrt(3)+4i)(sqrt(3)-8i) is 38-12sqrt(3)i