Question

help me pleaseeeeeee!the result is (rational/irrational) because it (cannot/can) be written as the ratio of two integers and it’s decimal expansion (does/does not) terminate or repeat

Answer 1

`4\sqrt[]{3}*2\sqrt[]{27}`

To multiply the above numbers, here are the steps:

1. Multiply the whole number and the radicands.

`\begin{gathered} 4*2=8 \\ \sqrt[]{3}*\sqrt[]{27}=\sqrt[]{81} \end{gathered}`

2. Get the square root of 81.

`\sqrt[]{81}=9`

3. Multiply the answer in #2 to the product of the whole numbers.

`8*9=72`

Therefore, the product of 4√3 and 2√27 is 72.

The result is rational because it can be written as the ratio of two integers and its decimal expansion does terminate or repeat.