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Rationalize the denominator.

Rationalize the denominator.-example-1
User Steveayre
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2 Answers

3 votes

Answer:

work is shown and pictured

Rationalize the denominator.-example-1
User Alex H Hadik
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8.0k points
5 votes

Answer:


\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}.

User Yaniv
by
8.6k points

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