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Question

Question: A square root of 3 + 4i is...

A square root of 3 + 4i is

A

3+i\sqrt{3} + i

B

2 – I

C

2 + I

D

None of these

Answer

2 + I

Explanation

Solution

Sol. 3 + 4i = 4 – 1 + 2 × 2 × i = (2)2 + (i)2 + 2 × 2 × i

= (2 × i)2

A square root of (3 + 4i) is (2 + i)