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Q.

Find the cube root of 13824 by the method of prime factorisation.


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a

24

b

18

c

12

d

36 

answer is A.

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Detailed Solution

Concept: Find the number's prime factorization first, then create the triplet of factors to solve the cube root problem using the prime factorization method.
Prime factorization of number 13824 is:
Question ImageFurther we make the triplet of factors:
Question ImageAdding more simplifications and writing the RHS as a cube.
Question ImageWe will now go on to determine the cube root.
Question ImageHence, the correct answer is option 1.
 
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