Mathematics

Problem

Let

\alpha > 0

. If

\int_{0}^{\alpha} \frac{x}{\sqrt{x+\alpha} - \sqrt{x}} dx = \frac{16+20\sqrt{2}}{15}

, then

\alpha

is equal to : (1) 2 (2) 4 (3)

\sqrt{2}

(4)

2\sqrt{2}