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Find the cube root of 13824 by prime factorisation method.Find the cube root of 13824 by prime factorisation method.

Find the cube root of 13824 by prime factorisation method.Find the cube root of 13824 by prime factorisation method.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
11 months ago
Dear Student

First let us prime factorise 13824:

13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2^3× 2^3× 2^3× 3^3

3√13824 = 2 × 2 × 2 × 3 = 24


Thanks

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