Example 7 - Find the cube root of 13824 by prime factorisation method.

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Example 7 Find the cube root of 13824 by prime factorisation method. We see that, 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 Since 2 & 3 occur in triplets ∴ 13824 is a perfect cube Cube root of 13824 = 2 × 2 × 2 × 3 = 4 × 6 = 24

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo