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Question

Mathematics Question on Complex Numbers and Quadratic Equations

2i\sqrt{2i} is equal to

A

1+i1+i

B

1−i1-i

C

−2i-\sqrt{2i}

D

None of these

Answer

1+i1+i

Explanation

Solution

2i=1+i2+2i\sqrt{2i}=\sqrt{1+i^{2}+2i} =(1+i)2=\sqrt{\left(1+i\right)^{2}} =1+i=1+i