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Square roots of -i, where $${\text{i}} = \sqrt { - 1} ,$$   are

Square roots of -i, where $${\text{i}} = \sqrt { - 1} ,$$   are Correct Answer $${\text{cos}}\left( { - \frac{\pi }{4}} \right) + {\text{i}}\sin \left( { - \frac{\pi }{4}} \right),\,\cos \left( {\frac{{3\pi }}{4}} \right) + {\text{i}}\sin \left( {\frac{{3\pi }}{4}} \right)$$

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Which of the following is TRUE? \({\rm{I}}.{\rm{\;}}\sqrt[3]{{11}} > \sqrt 7 > \sqrt[4]{{45}}\) \({\rm{II}}.{\rm{\;}}\sqrt 7 > \sqrt[3]{{11}} > \sqrt[4]{{45}}\) \({\rm{III}}.{\rm{\;}}\sqrt 7 > \sqrt[4]{{45}} > \sqrt[3]{{11}}\) \({\rm{IV}}.{\rm{\;}}\sqrt[4]{{45}} > \sqrt 7 > \sqrt[3]{{11}}\)
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