Simplifying Surds

DESCRIPTION

This guide provides a comprehensive overview of surds, which are numbers that cannot be expressed as fractions and are represented as non-terminating decimals, also known as irrational numbers. Key examples include π, √3, and 2 + √5. The process of simplifying surds is demonstrated through examples such as √36, √50, √72, and √12 × √27. The guide also includes algebraic applications, helping students solve equations and present their answers in the simplest surd form.

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May 03, 2026

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Simplifying Surds

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Simplifying Surds
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
Simplifying? √36 = 6 = 2 x 3 = √4 x √9 √36 = √4 x √9
Simplify √50
Simplify √72
Simplify √12 x √27 √12 x √27
Or √12 x √27 = √(12 x 27) = √324 = 18
Simplify So
In algebra Solve the equation Give answer as surd in simplest terms