Question

The square root of 5 + 12i is –

• A. 3 + 2i
• B. 3 – 2i
• C. ± (3 + 2i)
• D. None of these

Answer 1

Answer: (A)

3 + 2i

Answer 2

Sol. $\sqrt{5 + 12i}$= ± $\left\lbrack \sqrt{\frac{13 + 5}{2}} + i\sqrt{\frac{13 - 5}{2}} \right\rbrack$= ± [3 + 2i]