Solve for: sqrt(5)(10-4sqrt(2))

Expression: $\sqrt{ 5 }\left( 10-4\sqrt{ 2 } \right)$

Multiply each term in the parentheses by $\sqrt{ 5 }$

$10\sqrt{ 5 }-\sqrt{ 5 } \times 4\sqrt{ 2 }$

Calculate the product

$\begin{align*}&10\sqrt{ 5 }-4\sqrt{ 10 } \\&\approx9.71157\end{align*}$