Grade 12th pass8 grade maths

Find the cube root of each of the following numbers by prime factorisation method.
(vii) 110592

Harshit Singh

5 Years agoGrade 12th pass

1 Answer

Harshit Singh

5 Years ago

Dear Student

(vii) 110592

Solution:

110592 = 2×2×2×2×2×2×2×2×2×2×2×2×3×3×3

By grouping the factors in triplets of equal factors,

110592 = (2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)

Here, 110592 can be grouped into triplets of equal factors,

∴ 110592 = (2×2×2×2 × 3) = 48

Hence, 48 is cube root of 110592.

Thanks