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Grade 128 grade maths

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

Profile image of Pawan Prajapati
5 Years agoGrade 12
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1 Answer

Profile image of Harshit Singh
5 Years 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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