What is (3+i)(-1-sqrt(3)i) ?

The solution to (3+i)(-1-sqrt(3)i) is (-3+sqrt(3))+(-3sqrt(3)-1)i

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simplify (3+i)(-1-sqrt(3)i)

simplify

(3 + i) (- 1 - 3 i)

(- 3 + 3) + (- 33 - 1) i

Solution steps

(3 + i) (- 1 - 3 i)

Apply complex arithmetic rule:

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

= (3 (- 1) - 1 \cdot (- 3)) + (3 (- 3) + 1 \cdot (- 1)) i

Simplify

(3 (- 1) - 1 \cdot (- 3)) + (3 (- 3) + 1 \cdot (- 1)) i : (- 3 + 3) + (- 33 - 1) i

= (- 3 + 3) + (- 33 - 1) i

(5 g + 3 h + 4) \cdot 2

8 t^{2}

\frac{4 6}{2}

(1 - i)^{18}

8 \cdot (- 5)

What is (3+i)(-1-sqrt(3)i) ?
The solution to (3+i)(-1-sqrt(3)i) is (-3+sqrt(3))+(-3sqrt(3)-1)i