Answer the following question( - (2)/(3) √(6) )(9 √(3)

Question

Answer the following question
`( - (2)/(3) √(6) )(9 √(3)`

Answer 1

The expression is given as,

`(-2)/(3)*\sqrt[]{6}\text{ }*\text{ 9}\sqrt[]{3}`

The given expression is simplified as follows:

`\begin{gathered} =\frac{-2}{√(3)*\sqrt[]{3}}*\sqrt[]{3\text{ }}\text{ }*\text{ }\sqrt[]{2}\text{ }*\text{ 9 }*\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }*\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}`

Thus the result of the given expression is,

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