Find the cube root of each of the following numbers by prime factorisation method.
(vi) 13824
Find the cube root of each of the following numbers by prime factorisation method.
(vi) 13824
Harshit Singh , 4 Years ago
Grade 12th pass
8 grade maths> Find the cube root of each of the followi...
1 AnswersHarshit Singh
Dear Student
(vi) 13824
Solution:
13824 = 2×2×2×2×2×2×2×2×2×3×3×3
By grouping the factors in triplets of equal factors,
13824 = (2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)
Here, 13824 can be grouped into triplets of equal factors,
∴ 13824 = (2×2× 2×3) = 24
Hence, 24 is cube root of 13824.
Thanks
(vi) 13824
Solution:
13824 = 2×2×2×2×2×2×2×2×2×3×3×3
By grouping the factors in triplets of equal factors,
13824 = (2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)
Here, 13824 can be grouped into triplets of equal factors,
∴ 13824 = (2×2× 2×3) = 24
Hence, 24 is cube root of 13824.
Thanks
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