In this question, we want you to find the fifth roots of

−1+ √3 j

Firstly, give the root that has the Arg of least magnitude, in exact polar form (or if this leaves you with a choice of two the one of these that has a positive Arg).

Note. The nth root of a positive real number k is entered using fractional powers: k^(1/n)

Recall that polar form means you must enter: r * cis(θ)

for some modulus r and Arg θ, where θ satisfies −π < θ ≤ π.

−1+ √3 j

Firstly, give the root that has the Arg of least magnitude, in exact polar form (or if this leaves you with a choice of two the one of these that has a positive Arg).

Note. The nth root of a positive real number k is entered using fractional powers: k^(1/n)

Recall that polar form means you must enter: r * cis(θ)

for some modulus r and Arg θ, where θ satisfies −π < θ ≤ π.

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