Question

Answer the following question$( - \frac{2}{3} \sqrt{6} )(9 \sqrt{3}$

Answer 1

The expression is given as,

$\frac{-2}{3}\times\sqrt[]{6}\text{ }\times\text{ 9}\sqrt[]{3}$

The given expression is simplified as follows:

$\begin{gathered} =\frac{-2}{\sqrt{3}\times\sqrt[]{3}}\times\sqrt[]{3\text{ }}\text{ }\times\text{ }\sqrt[]{2}\text{ }\times\text{ 9 }\times\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }\times\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}$

Thus the result of the given expression is,

$\text{-18 }\sqrt[]{2}$