Question

Find the cube root of 857375 through estimation.

• A. 95
• B. 85
• C. 65
• D. 98

Answer 1

The correct option is A 95

Step 1: Start making groups of 3 digits starting from the unit place.
i.e. 857 375
Second group First group

Step 2: First group i.e 375 will give us the units digit of the cube root. As 375 ends with 5, So, the units place of the cube root will be 5.

Step 3: Now, take second group i.e. 857.
We know that $9^3<857<{10}^3$
As the smallest number is 9, it becomes the tens place of the required cube root
$\therefore$$\sqrt[3]{3857375}=95$