Question

Find the cube root of the given number through estimation:

$3375$

Answer 1

For calculating the cube root of $3375$, this number has to be separated in two group, i.e. $3$ and $375$.

considering the group $375$:

$375$ ends with $5$ and we know that if digit $5$ is at the end of any perfect cube number, then its cube root will have $5$ at its unit place only. Therefore, the digits at the units place of the required cube root is taken as $5$.

Now consider the other group $3$:

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

Also, $1<3<8$

So, $1$ will be taken at the tens place. So, the required cube root of $3375$ is $15$.

$\sqrt[3]{33375}=15$