Question

Find the cube root of the following natural number 17576 .

Answer 1

Cube root using units digit:
Let us consider the number 17576.
The unit digit is 6; therefore, the unit digit in the cube root of 17576 is 6.
After striking out the units, tens and hundreds digits of the given number, we are left with 17.
Now, 2 is the largest number whose cube is less than or equal to 17 ( \[2^3 < 17 < 3^3\]) .

Therefore, the tens digit of the cube root of 17576 is 2.
Hence, 

\[\sqrt[3]{17576} = 26\]