If p^2 + 1p^2 = 47 , then the value of p + 1/p is?

Answer: Option C

$$\begin{array}{rl}& p^2+\frac{1}{p^2}=47\\ & \text{On adding 2 both side}\\ & p^2+\frac{1}{p^2}+2=47+2\\ & \Rightarrow {\left(p+\frac{1}{p}\right)}^2=49\\ & \Rightarrow \left(p+\frac{1}{p}\right)=7\\ & \Rightarrow p+\frac{1}{p}=7\end{array}$$