If $\sqrt[3]{1728} \ =\ 12$, then find the value of $\sqrt[3]{0.000001728}$.

Given: $\sqrt[3]{1728} \ =\ 12$

To find: Here we have to find the value of $\sqrt[3]{0.000001728}$.

Solution:

Now,

$\sqrt[3]{0.000001728}$

$=\ \sqrt[3]{\frac{1728}{1000000000}}$

$=\ \sqrt[3]{\frac{12\ \times \ 12\ \times \ 12}{1000\ \times \ 1000\ \times \ 1000}}$

$=\ \frac{12}{1000}$

$=\ \mathbf{0.012}$

So, the answer is 0.012.

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Updated on: 10-Oct-2022

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