Find the square root of $$\frac{a^2}{b^2}+\frac{b^2}{a^2}+2$$ ​

Given: 

To find: square root of  $$\frac{a^2}{b^2} + \frac{b^2}{a^2}+2$$ 

Formula Used: 

​$$(a+b)^2 = a^2 +b^2 +2ab$$ 

Solution: 

​$$\sqrt{\frac{a^2}{b^2} + \frac{b^2}{a^2}+2} \\ \ \\ = \sqrt{\frac{a^4 +b^4 + 2 a^2b^2}{a^2b^2}} \\ \ \\ = \sqrt{\frac{(a^2 + b^2)^2}{a^2b^2}} \\ \ \\ = \frac{a^2+b^2}{ab}\\ \ \\ \textbf{or} ,\\ \ \\ =\frac{a}{b} +\frac{b}{a}$$