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Q.

Find the cube root of 4096?


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a

16

b

24

c

14

d

26 

answer is A.

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Detailed Solution

Concept- We will apply a prime factorization method. To find the cube root of a number we need to factorize with its prime factors. We need to divide it until the quotient is 1.
By prime factorisation of 4096 we get,
The lowest prime factor of 4096 is 2
By repeated division of 4096 by 2 we get,
https://lh5.googleusercontent.com/1WEMgMDK_cM2kz0M5Bs-GTUrXzt657hcMCDtCFtdv0JCu831JvPU8Ckm9bhzr-ZUVHEFmaVY9NqHwzYcp9OyuUxSMwlmaGxzOpct6jcYXQXwXf-YZjeJnkLLRyB7W8jRnvyu-Mt9q9YpDvBVSwSo now we must group three numbers into one to get the cube root
By grouping them we get,
https://lh4.googleusercontent.com/1cdRULkISp4dwmXfkfs_ucYpMUmGy5Er4Ly5oiu4QEn9rlwODzbT-32WgRc5LcV6SyJfm1Mz-TdyXafaMZ9Oz7vdRAzbphEAgENH1xtDXS24Tg8XB7tlyes9B7t7mDgObL39baTC1aR-uTl_LgWe can see that 16 is the cube root of 4096.
Hence, the correct answer is option 1) 16
 
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Find the cube root of 4096?