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klemol [59]
3 years ago
8

Find all the real cube roots of 0.000064

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
\sqrt[3]{0.000064}=  \sqrt[3]{ \frac{64}{1,000,000} }= \sqrt[3]{ \frac{4^3}{100^3} }=  \sqrt[3]{ (\frac{4}{100})^3 }= \frac{4}{100}=0.04
laiz [17]3 years ago
6 0

Answer:

\sqrt[3]{\frac{64}{1000000}} = 0.04

Step-by-step explanation:

Given : 0.000064.

To find : find all the real cube roots.

Solution : We have given that 0.000064.

Convert it in to fraction form

0.000064 = \frac{64}{1000000}.

Taking cube root

\sqrt[3]{\frac{64}{1000000}}

We can write 64 as 4 *4 * 4

1000000 as 100 * 100 * 100

\sqrt[3]{\frac{4 * 4 *4}{100 * 100 * 100}}

Then  \{\frac{4}{100}} = 0.04

Therefore,  \sqrt[3]{\frac{64}{1000000}} = 0.04

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