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Q.

Find the cube root of 2744.

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a

16

b

12

c

14

d

18

answer is B.

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Detailed Solution

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The cube root of any perfect cube number can be found by prime factorisation.

Prime factorisation of 2744 is:

22744
21372
2686
7343
749
77
 1

 So, the Prime factorization of 2744 is:

2744=2×2×2×7×7×7

       =23×73

27443=2×7=14

The cube root of 2744 is 14.

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