Given
0.216
Find
Cube root of the given number
Explanation
Cube root is the value which when multiplying by itself thrice or three times produces the original number
0.216 can be written as the product of
[tex]\begin{gathered} 0.216=\frac{216}{1000} \\ \end{gathered}[/tex]prime factorization of 216 and 1000
prime factorization of 216 =
[tex]\begin{gathered} 2\times2\times2\times3\times3\times3 \\ \end{gathered}[/tex]1000 -
[tex]\begin{gathered} 10\times10\times10 \\ 10 \end{gathered}[/tex]we have to find the cube root so , we make pair of three
so
[tex]\begin{gathered} (2\times2\times2)\times(3\times3\times3) \\ 2\times3 \\ 6 \end{gathered}[/tex]hence
[tex]\begin{gathered} \frac{6}{10} \\ 0.6 \end{gathered}[/tex]so , the cube root of 0.216 is 0.6
Final Answer
Therefore , The cube root of 0.216 is 0.6
