Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
246.
Step-by-step explanation:
Let the number be 2xy, then
2 + x + y = 2y and y must be even because the whole number is even.
y = 2 + x .
Now x must be even because y is even.
The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.
Checking: 2+4+6 = 12 and 12 = 2*6.
Answer:
I believe its A.
Step-by-step explanation:
Answer: None of the above
Step-by-step explanation: Because none of them will equal the solution which is 0.5,
1.7 + (-1.2) = 0.5
