Square Root By Factorization Method.
Автор: 𝐊𝐧𝐨𝐰𝐥𝐞𝐝𝐠𝐞 𝐰𝐢𝐭𝐡 𝐌𝐫. 𝐀𝐚𝐪𝐢𝐛
Загружено: 2026-02-13
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Описание:
Square Root by Factor Method
Definition:
Finding the square root of a number by breaking it into prime factors and pairing the same factors.
Steps
Write the given number
Find its prime factors
Make pairs of same factors
Take one factor from each pair
Multiply them → that is the square root
Example 1: √36
36 = 2 × 2 × 3 × 3
Pairs: (2 × 2) and (3 × 3)
Take one from each pair: 2 × 3
√36 = 6
Example 2: √144
144 = 2 × 2 × 2 × 2 × 3 × 3
Pairs: (2×2), (2×2), (3×3)
Take one from each pair: 2 × 2 × 3
√144 = 12
Example 3 (Not a perfect square): √20
20 = 2 × 2 × 5
Pair: (2×2)
Leftover: 5
√20 = 2√5
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