Here's a step-by-step in solving this equation:
[tex]5 \sqrt{ \frac{x}{2} } = 1[/tex]
[tex] \sqrt{ \frac{x}{2} } = \frac{1}{5}
[/tex]
[tex] \frac{ \sqrt{2x} }{2} = \frac{1}{5}
[/tex]
[tex] \sqrt{2x} = \frac{2}{5}
[/tex]
[tex]2x = \frac{4}{25} [/tex]
∴[tex]x = \frac{2}{25} [/tex]
