Question

If a^(2)+b^(2)+(1)/(a^(2))+(1)/(b^(2))=4 then the value of sqrt(a^(2)+b^(2)) is

Answer 1

Answer:

x=a2+b2−a2−b2a2+b2+a2−b2

Use componendo and divivdendo rule:

x−1x+1=a2+b2+a2−b2−a2+b2+a2−b2a2+b2+a2−b2+a2+b2−a2−b2