Question

Find the cube root of the following natural number 157464 .

Answer 1

Cube root using units digit:

Let is consider 157464.
The unit digit is 4; therefore, the unit digit in the cube root of 157464 is 4.
After striking out the units, tens and hundreds digits of the given number, we are left with 157.
Now, 5 is the largest number whose cube is less than or equal to 157 ( \[5^3 < 157 < 6^3\]) .

Therefore, the tens digit of the cube root 157464 is 5.
Hence,

\[\sqrt[3]{157464} = 54\]