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Example 4 Find the square root of 6400. We use prime factorization to find square root We use prime factorization to find square root Thus, 6400 = 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 2 Γ— 5 Γ— 5 6400 = 22 Γ— 22 Γ— 22 Γ— 22 Γ— 52 Therefore, Square root of 6400 = 2 Γ— 2 Γ— 2 Γ— 2 Γ— 5 = 4 Γ— 4 Γ— 5 = 4 Γ— 20 = 80

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.