Question

Rationalize the denominator.

Answer 1

work is shown and pictured

Answer 2

`\frac{\sqrt[3]{18}}{3}`

Explanation:

Hello!

To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.

Since
`\sqrt[3]{3}` is the same as
`3^(\frac13)`, we have to multiply the numerator and denominator by
`3^(\frac23)` or
`\sqrt[3]{3^2}`.

Rationalize

• 
  `\frac{\sqrt[3]{2}}{\sqrt[3]{3}}`
• 
  `\frac{\sqrt[3]{2}}{\sqrt[3]{3}} * \frac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}`
• 
  `\frac{\sqrt[3]{2 * 3^2}}{\sqrt[3]{3^3}}`
• 
  `\frac{\sqrt[3]{18}}{3}`

The radical in the numerator cannot be further simplified.

The answer is
`\frac{\sqrt[3]{18}}{3}`.