How to find cube root by long division method?

The long division method for finding cube roots is a systematic approach to determine the number that, when multiplied by itself three times, equals the given number. Here's how it works:

Steps for Finding Cube Root by Long Division

1. Grouping Digits: Start by grouping the digits of the number whose cube root needs to be determined into sets of three, starting from the unit place (rightmost digit). For example, to find the cube root of 17576, we group it as 17 576.

2. Finding the First Digit of the Cube Root: Find the largest number whose cube is less than or equal to the first group of digits from the left. This number will be the first digit of the cube root. For example, in 17 576, the first group is 17. The largest number whose cube is less than or equal to 17 is 2 (since 2³ = 8 and 3³ = 27). So, 2 is the first digit of the cube root.

3. Subtraction: Subtract the cube of the number found in the previous step from the first group (or single digit). In our example, subtract 2³ (which is 8) from 17. 17 - 8 = 9.

The reference provided on Byjus outlines these initial steps. However, it is not a complete guide to the long division method for cube roots. A full explanation of the long division method is beyond the scope of the provided reference.