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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.