Find the cube root of 17576 through estimation.

The correct option is C. 26
The given number is 17576
Step 1: Start making groups of 3 digits starting from the unit place.
i.e. 17 576
Second group First group

Step 2: First group i.e 576 will give us the unit digit of the cube root.

As 576 ends with 6, so, the unit digit of the cube root will be 6 as $6^3=21\underset{–}{6}$ .

Step 3: Now, take second group i.e. 17.
We know that $2^3<17<3^3$
As the smallest number is 2, it becomes the ten's place of the required cube root
$\therefore$$\sqrt[3]{317576}=26$