Question

Find the cubeeoot of 91,125 by prime factorisation method​

Answer 1

Answer:

45 is the answer

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Answer 2

Answer:

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Step-by-step explanation:

By prime factorization method, we get

91125 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5

By grouping the factors in triplets of equal factors,

91125 = (3×3×3)×(3×3×3)×(5×5×5)

Here, 91125 can be grouped into triplets of equal factors.

∴ 91125 = (3×3×5) = 45

Hence, 45 is the cube root of 91125.