Question

Find the square root of $(x^2-y^2)$ + 2ixy.

• A. (x - iy)
• B. (x + iy)
• C.
• D.

Answer 1

The correct option is B

(x + iy)

Let the square root of $(x^2-y^2)$ + 2ixy = a + ib

$\sqrt{(x^2-y^2)+2ixy}=\alpha +ib$

Square on both sides

$(x^2-y^2)+2ixy=(a^2-b^2)$ + 2iab

Compare both the sides we get,

a =$\pm$x

b = $\pm$y

So, square root is $\pm$(x + iy).