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Find the cube root of each of the following numbers by prime factorisation method. (iii) 10648 (iv) 27000

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

 

(iii) 10648

(iv) 27000

 

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
23 days ago
Dear Student


(iii) 10648

Solution:

10648 = 2×2×2×11×11×11

By grouping the factors in triplets of equal factors, 10648 = (2×2×2)×(11×11×11)

Here, 10648 can be grouped into triplets of equal factors,

∴ 10648 = 2 ×11 = 22

Hence, 22 is cube root of 10648.

(iv) 27000

Solution:

27000 = 2×2×2×3×3×3×3×5×5×5

By grouping the factors in triplets of equal factors, 27000 = (2×2×2)×(3×3×3)×(5×5×5)

Here, 27000 can be grouped into triplets of equal factors,

∴ 27000 = (2×3×5) = 30

Hence, 30 is cube root of 27000.



Thanks

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