# Simplifying Surds - emaths.co.uk

Simplifying Surds OCR Stage 8 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

3 2 + 5 Simplifying? 36 = 6 = 2 x 3 = 4 x 9 36 = 4 x 9 a b a b

Simplify 50 50 25 2 252 5 2 Simplify 72

72 9 8 3 8 3 4 2 3 2 2

6 2 Simplify 12 x 27 12 4 3 2 3 27 9 3 3 3 12 x 27 2 3 3 3

2 3 3 3 2 3 3 18 Or 12 x 27 = (12 x 27) = 324 = 18 Simplify

30 10 30 10 3 300 3 100 10 3 So 30 10 10 3

3 3 10 In algebra Solve the equation 2

x 18 Give answer as surd in simplest terms x 18 92 3 2

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