sqrt(x + 1) / sqrt(x)

(FPCore (x) :precision binary64 (/ (sqrt (+ x 1.0)) (sqrt x)))

double code(double x) {
	return sqrt((x + 1.0)) / sqrt(x);
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = sqrt((x + 1.0d0)) / sqrt(x)
end function

public static double code(double x) {
	return Math.sqrt((x + 1.0)) / Math.sqrt(x);
}

def code(x):
	return math.sqrt((x + 1.0)) / math.sqrt(x)

function code(x)
	return Float64(sqrt(Float64(x + 1.0)) / sqrt(x))
end

function tmp = code(x)
	tmp = sqrt((x + 1.0)) / sqrt(x);
end

code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] / N[Sqrt[x], $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
\frac{\sqrt{x + 1}}{\sqrt{x}}
\end{array}