Solve (-8-8root3i)^(1/4)

Evaluate

(- 8 - 83 \times i)^{\frac{1}{4}}

Rewrite the complex number

(16 (cos (- \frac{2 π}{3}) + i sin (- \frac{2 π}{3})))^{\frac{1}{4}}

Using the formula [r (cos (θ) + i sin (θ))]^{n} = r^{n} (cos (n \times θ) + i sin (n \times θ))

1 6^{\frac{1}{4}} (cos (\frac{1}{4} (- \frac{2 π}{3})) + i sin (\frac{1}{4} (- \frac{2 π}{3})))

Evaluate

1 6^{\frac{1}{4}} (cos (- \frac{π}{6}) + i sin (\frac{1}{4} (- \frac{2 π}{3})))

Evaluate

1 6^{\frac{1}{4}} (cos (- \frac{π}{6}) + i sin (- \frac{π}{6}))

Calculate

2 (cos (- \frac{π}{6}) + i sin (- \frac{π}{6}))

Evaluate

More Steps

2 (\frac{3}{2} - \frac{1}{2} i)

Solution

3 - i

Simplify the expression