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Find the cube root of each of the following numbers by prime factorisation method. (v) 15625

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

 

(v) 15625

 

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
one month ago
Dear Student


(v) 15625

Solution:

15625 = 5×5×5×5×5×5

By grouping the factors in triplets of equal factors, 15625 = (5×5×5)×(5×5×5)

Here, 15625 can be grouped into triplets of equal factors,

∴ 15625 = (5×5) = 25

Hence, 25 is cube root of 15625.


Thanks

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