Question

Find The Cube Root Of $175616$ estimation Method

Answer 1

Finding the cube root of $175616$ by estimation method.

We break $175616$into two group of three digits
$\therefore 175|616$
Cube of $6=216$, it has $6$ in unit place.so this is the number at unit place of required cube root
For the group $175$
$\therefore 5^3<175<6^3$, the smaller number is $5$ and this is at tens of required cube root
$\Rightarrow \sqrt[3]{175616}=56$

Hence, the cube root of $175616$ is $56$