Question

What is the easiest way to find the third root of a number without calculator​

Answer 1

The easiest way to find the thrid root of number is successive approximation or estimation.

Explanation:

1. Begin with an educated guess, which can be any integer close to the cube root.
2. Apply the following formula: New_guess = (2 * Old_guess + Number / (Old_guess2)) / 3.
3. Step 2 should be repeated, but this time replace the "Old_guess" with the "New_guess" acquired in the previous iteration.
4. Iterate until the difference between successive estimates is narrow enough to match your desired degree of precision.

This successive approximation approach is based on the Newton-Raphson method, which allows you to approximate equation roots. You may estimate the amount without using a calculator by applying it particularly to determining the cube root.