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Square Root By Factorization Method.

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 #SquareRoot #SquareRootByFactors #FactorMethod #PrimeFactorization #PerfectSquares #NonPerfectSquares #MathBasics #NumberSystem #Class8Maths #Class9Maths #ExamPreparation