Question

Find the square root of - x2/y2 + y2/x2 + 1/2i (x/y+y/x) + 31/16

Answer 1

We can write given expression as

x+y2+x−y2+2×x+y2×x−y2−−−−−−−−−−−−√

Now using the well known identity,

(a+b)2=a2+b2+2ab

we can say that the root of given expression is

x+y2−−−−−√+x−y2−−−−−√

Which is the required answer.

Hope it helps:)