Question

Find the cube root of 0.000512

Answer 1

Answer :

Now, 0.000512

$= \frac{512}{1000000} \\ \\ = { (\frac{8}{100} )}^{3} \\ \\ = {( \frac{2}{25}) }^{3} \\ \\ = {0.08}^{3}$

Therefore, cube root of 0.000512

$= \sqrt[3]{0.000512} \\ \\ = {0.000512}^{ \frac{1}{3} } \\ \\ = { ({0.08}^{ 3}) }^{ \frac{1}{3} } \\ \\ = {0.08}^{ \frac{3}{3} } \\ \\ = {0.08}^{1} \\ \\ = 0.08$

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