Question

find the cube root of 175616by estimation method

Answer 1

Cube root of 175616.
Step 1: Form groups of three starting from the rightmost digit of 175616.
175 616. One group i.e., 175 has two digits whereas 616 has only one digit.

Step 2: Consider 616. The digit 6 is at its one’s place.
We take the one’s place of the required cube root as 6.

Step 3: Consider the other group, i.e.175.
The number 175 ends with 5. 5 comes at the unit’s place of a number only when it’s cube root ends in 5. So, we get 5 at the unit’s place of the cube root.

Take 5 as the ten’s place of the cube root of 175616.

Thus, 175616 3 = 56.