Find the unit digit of the cube root of 13824.

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answer is C.

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Detailed Solution

Concept- Find the triplet of the same numbers to obtain the cube root by first writing the given number's prime factors.
The number we have is 13824. The cube root of this number's unit digit must be determined. So, we'll start by listing the number's prime factors.
To write the prime factorization of any integer, divide it by the first prime number, which is 2, and then keep dividing by 2 until you reach a number that cannot be divided by 2 (i.e., when you divide the number by 2, you get a decimal or remainder).
Start by multiplying the given integer by the third prime number, which is. until you reach a number that cannot be divided by three, keep multiplying the number by three.
As, the cube root of 13824 is 24
Thus, the unit digit of the cube root of 13824 is 4
Hence, the correct option is 3) 4.

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