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Simplifying Surds

Learn about surds - numbers that cannot be expressed as fractions but can be represented by non-terminating decimals. Explore examples such as π, √3, and 2 + √5. Discover how to simplify surds like √36, √50, √72, and algebraic expressions involving surds. Master the art of simplifying and solving equations with surds in the simplest terms possible.

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Simplifying Surds

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  1. Simplifying Surds OCR Stage 8

  2. What is a surd? • A number that can NOT be written a fraction • Can be written as a non-terminating decimal • Otherwise known as an irrational number • Examples • π • √3 • 2 + √5

  3. Simplifying? √36 = 6 = 2 x 3 = √4 x √9 √36 = √4 x √9

  4. Simplify √50

  5. Simplify √72

  6. Simplify √12 x √27 √12 x √27

  7. Or √12 x √27 = √(12 x 27) = √324 = 18

  8. Simplify So

  9. In algebra Solve the equation Give answer as surd in simplest terms

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