Find the cube root of 46656 by finding their units and ten digits.

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answer is C.

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Detailed Solution

Concept- We will have to observe the unit’s digit of the given number, and think of a number out of [0, 1 ,2, 3, 4, 5, 6, 7, 8, 9] whose cube will have the same digit as the unit’s digit. Then, we have to hide 3 digits from the left and consider the first 2 digits of the number. Then we need to think of a number whose cube will be less than the number given in the question. In 46656, the last digit or the unit’s digit is 6. And out of [0, 1 ,2, 3, 4, 5, 6, 7, 8, 9], Only 6 is such a number whose unit’s digit of cube, is 6, i.e.,

Therefore, the unit's digit of the cube root number is 6.
Now, after hiding 3 digits from the left and considering the first 2 digits of the number 46656, we get 46.
Now, we need to think of a number whose cube will be less than 46.

Therefore, the tens place digit of the cube root number of 46656 is 3.
Therefore, the cube root of 46656 = 36.
Hence, the correct answer is 3) 36.

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