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Question
Find the cube root of the following natural number 157464 .
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Solution
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,
\[\sqrt[3]{157464} = 54\]
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