What is (1+sqrt(3i))^{1/3} ?

The solution to (1+sqrt(3i))^{1/3} is (1+3^{1/2}i^{1/2})^{1/3}

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simplify (1+sqrt(3i))^{1/3}

simplify

(1 + 3 i)^{\frac{1}{3}}

(1 + 3^{\frac{1}{2}} i^{\frac{1}{2}})^{\frac{1}{3}}

Solution steps

(1 + 3 i)^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (1 + 3^{\frac{1}{2}} i^{\frac{1}{2}})^{\frac{1}{3}}

\frac{3 ( 0.999 )}{( 0.999 ) - 1}

\frac{p}{2} + 36 \geq 37

\frac{5 ^{4}}{5 ^{4}}

∣ x - 30 ∣ < 5

- \frac{1}{2} x \leq \frac{- 9}{4} + \frac{6}{5} x

What is (1+sqrt(3i))^{1/3} ?
The solution to (1+sqrt(3i))^{1/3} is (1+3^{1/2}i^{1/2})^{1/3}