Find the cube root of the following rational number.$\frac{4913}{3375}$.

Given :

The given rational number is $\frac{4913}{3375}$.

To do :

We have to find the cube root of the given rational number.

Solution :

$\frac{4913}{3375} = \frac{17 \times 17 \times 17}{15 \times 15 \times 15}$

$\sqrt[3]{\frac{4913}{3375}} = \sqrt[3]{\frac{17 \times 17 \times 17}{15 \times 15 \times 15}}$

                                   $= \sqrt[3]{\frac{17^3}{15^3}}$

                                  $= \frac{17}{15}$

The cube root of $\frac{4913}{3375}$ is $\frac{17}{15}$.

$\frac{4913}{3375}$

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Updated on: 10-Oct-2022

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