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Question
Find the cube root of the following natural number 17576 .
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Solution
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,
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