Calculate: (2)/(5) * sqrt(75)-(2)/(3) * sqrt(27)-(1)/(2) * sqrt(12)

Expression: $\frac{ 2 }{ 5 } \times \sqrt{ 75 }-\frac{ 2 }{ 3 } \times \sqrt{ 27 }-\frac{ 1 }{ 2 } \times \sqrt{ 12 }$

Simplify the radical expression

$2\sqrt{ 3 }-\frac{ 2 }{ 3 } \times \sqrt{ 27 }-\frac{ 1 }{ 2 } \times \sqrt{ 12 }$

Simplify the radical expression

$2\sqrt{ 3 }-2\sqrt{ 3 }-\frac{ 1 }{ 2 } \times \sqrt{ 12 }$

Simplify the radical expression

$2\sqrt{ 3 }-2\sqrt{ 3 }-\sqrt{ 3 }$

Since two opposites add up to $0$, remove them from the expression

$\begin{align*}&-\sqrt{ 3 } \\&\approx-1.73205\end{align*}$