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Q.

Using prime factorization, what is the cube root of 5832?


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a

12

b

16

c

18

d

20 

answer is C.

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Detailed Solution

The given number is 5832.
Utilizing prime factorization, express the given integer as a prime factor product.
⇒5832 = 2×2×2×3×3×3×3×3×3 ⇒ 5832 3  =  2×2×2×3×3×3×3×3×3 3 ⇒ 5832 3  = 2 3 × 3 3 × 3 3 3 ⇒ 5832 3  =2×3×3  
⇒ 5832 3 =18  
Hence, 5832's cube root is 18.
Therefore, option 3 is correct.
 
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