Question

Select the correct answer in the Box the product of 2/3 and 312 in simplified form is blank

Answer 1

Given:

`2\sqrt[]{3}\ast3\sqrt[]{12}`

Let's find the product of the numbers.

To find the product, multiply both numbers.

We have:

`\begin{gathered} 2\sqrt[]{3}\ast(3\sqrt[]{12}) \\ \\ 2\sqrt[]{3}\ast(3\sqrt[]{4\ast3}) \\ \\ 2\sqrt[]{3}\ast(3\sqrt[]{2^2\ast3}) \\ \\ \end{gathered}`

Solving further:

`\begin{gathered} 2\sqrt[]{3}\ast(3\ast2\sqrt[]{3}) \\ \\ 2\sqrt[]{3}\ast(6\sqrt[]{3}) \\ \\ 12\sqrt[]{3}^2 \\ \\ 12\ast3=36 \end{gathered}`

Therefore, the simplified product is 36

ANSWER:

36