find all the real cube roots of 0.000064
\(\sqrt[3]{0.000064}= \sqrt[3]{ \frac{64}{1,000,000} }= \sqrt[3]{ \frac{4^3}{100^3} }= \sqrt[3]{ (\frac{4}{100})^3 }= \frac{4}{100}=0.04\)
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