Question

Find the cube root of the given number through estimation: $5832$

Answer 1

For calculating the cube root of $5832$, this number has to be separated in two group, i.e. $5$ and $832$.

considering the group $832$:

$832$ ends with $2$ and we know that if digit $2$ is at the end of any perfect cube number, then its cube root will have $8$ at its unit place only. Therefore, the digits at the units place of the required cube root is taken as $8$.

Now consider the other group $5$:

We know that the $1^3=1$ and $2^3=8$

Also, $1<5<8$

So, 1 will be taken at the tens place. So, the required cube root of 5832 is 18.

$\sqrt[3]{35832}=18$