Answer:
[tex]\frac{\sqrt[3]{18}}{3}[/tex]
Step-by-step explanation:
Hello!
To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.
Since [tex]\sqrt[3]{3}[/tex] is the same as [tex]3^{\frac13}[/tex], we have to multiply the numerator and denominator by [tex]3^{\frac23}[/tex] or [tex]\sqrt[3]{3^2}[/tex].
Rationalize
- [tex]\frac{\sqrt[3]{2}}{\sqrt[3]{3}}[/tex]
- [tex]\frac{\sqrt[3]{2}}{\sqrt[3]{3}} * \frac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}[/tex]
- [tex]\frac{\sqrt[3]{2 * 3^2}}{\sqrt[3]{3^3}}[/tex]
- [tex]\frac{\sqrt[3]{18}}{3}[/tex]
The radical in the numerator cannot be further simplified.
The answer is [tex]\frac{\sqrt[3]{18}}{3}[/tex].
