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

Find the cube root of the following number by the prime factorisation method.

13824

Sum

Prime factorisation of 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ×2 × 3 × 3 × 3

= 2³ × 2³ × 2³ × 3³

= (2 × 2 × 2 × 3)³

∴ `root3 (13824)`

= 2 × 2 × 2 × 3

= 24

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