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Find the cube root of each of the following numbers by prime factorisation method. (i) 64

 Find the cube root of each of the following numbers by prime factorisation method.

(i) 64

 

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student
(i) 64

Solution:

64 = 2×2×2×2×2×2

By grouping the factors in triplets of equal factors, 64 = (2×2×2)×(2×2×2)

Here, 64 can be grouped into triplets of equal factors,

∴ 64 = 2×2 = 4

Hence, 4 is cube root of 64.




Thanks

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