Question

Find the cube root of the following natural number 35937 .

Answer 1

Cube root using units digit:
Let us consider 35937.
The unit digit is 7; therefore, the unit digit in the cube root of 35937 is 3.
After striking out the units, tens and hundreds digits of the given number, we are left with 35.
Now, 3 is the largest number whose cube is less than or equal to 35 ( \[3^3 < 35 < 4^3\] ) .

Therefore, the tens digit of the cube root of 35937 is 3.
Hence,

\[\sqrt[3]{35937} = 33\] .