Question

$(\sqrt{ \sqrt{ - 3} + 1} )$
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Answer 1

$\sqrt{ \sqrt{ - 3} + 1 } \\ \\ = > \sqrt{ \sqrt{3} \times \sqrt{ - 1} + 1 } \\ \\ = > \sqrt{ \sqrt{3}i + 1 }$

As we know that : √-1 = i

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

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Answer 2

not possible as root of a negative number is not real