What is (2+sqrt(3)i)(5-6sqrt(3)i) ?

The solution to (2+sqrt(3)i)(5-6sqrt(3)i) is 28-7sqrt(3)i

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simplify (2+sqrt(3)i)(5-6sqrt(3)i)

simplify

(2 + 3 i) (5 - 63 i)

28 - 73 i

Solution steps

(2 + 3 i) (5 - 63 i)

Apply complex arithmetic rule:

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

= (2 \cdot 5 - 3 (- 63)) + (2 (- 63) + 3 \cdot 5) i

Simplify

(2 \cdot 5 - 3 (- 63)) + (2 (- 63) + 3 \cdot 5) i : 28 - 73 i

= 28 - 73 i

\frac{1}{3} (12 + 3 (12 - x))

50 \cdot 1 0^{- 6}

c + c

9^{2} + 3^{2}

π \cdot 1 5^{2}

What is (2+sqrt(3)i)(5-6sqrt(3)i) ?
The solution to (2+sqrt(3)i)(5-6sqrt(3)i) is 28-7sqrt(3)i