Question

Can you help me find the cube root of .216

Answer 1

Given

0.216

Find

Cube root of the given number

Step-by-step 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

`\begin{gathered} 0.216=(216)/(1000) \\ \end{gathered}`

prime factorization of 216 and 1000

prime factorization of 216 =

`\begin{gathered} 2*2*2*3*3*3 \\ \end{gathered}`

1000 -

`\begin{gathered} 10*10*10 \\ 10 \end{gathered}`

we have to find the cube root so , we make pair of three

so

`\begin{gathered} (2*2*2)*(3*3*3) \\ 2*3 \\ 6 \end{gathered}`

hence

`\begin{gathered} (6)/(10) \\ 0.6 \end{gathered}`

so , the cube root of 0.216 is 0.6

Final Answer

Therefore , The cube root of 0.216 is 0.6