Question

Given 9261 = 3 x 7, find the square root of 9 261 without using a calculator

Answer 1

Answer:

The cube root of 9261, denoted as 3√9261, is equal to a value which gives the original number, i.e., 9261 on multiplied by itself, three times. Basically, cube root of number is the root of a cubed number. In other words, if a3 = b, then 3√b = a. Therefore, the cube root is the reverse method of evaluating a cube.

Cube root of 9261, 3√9261 = 21

Let 3√9261 = x, then 9261 = x3. So, we need to find here the value of x. Now, if we do the prime factorisation method of 9261 it will take more time. Hence, the fastest method to find the value of 3√9261 will be by the estimation method, which is recommended for all the numbers having more than or equal to 4-digits.