GATE Civil Engineering (CE) 2022 Shift 1 Solved Paper

Consider the following recursive iteration scheme for different values of variable P with the initial guess x₁ = 1.
${\mathit{x}}_{\mathit{n}+1}=\frac{1}{2}\left({\mathit{x}}_{\mathit{n}}+\frac{\mathit{P}}{{\mathit{x}}_{\mathit{n}}}\right)$, n = 1, 2, 3, 4, 5
For P = 2, x₅ is obtained to be 1.414, rounded-off to three decimal places. For P = 3, x₅ is obtained to be 1.732, rounded-off to three decimal places.
If P = 10, the numerical value of x₅ is ________. (round off to three decimal places)