Question

Find the cube root of $226981$ through estimation.

Answer 1

Consider the number $226981$.

Since the unit's digit of $226981$ is $1$, the units digit of its cube root is also $1$.
Now, the number obtained by striking out units, tens and hundred digits $=226$.
$\Rightarrow 6^3<226<7^3$
Tens digit of the cube root of $226981$ is $6$.
Hence, $\sqrt[3]{3226981}=61$