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Algebra and General Mathematics: Surds

Algebra and General Mathematics: Surds

SURDS

Surds is a numerical expression containing an irrational number.

Pure Surds – one which has one factor as a unit and the other factor as an irrational number.

Example:

{ √3, 3√7, … }

Mixed Surds – one which comprises of rational and irrational numbers.

Example:

{ 4 + √5, 3 + 3√6, 2 – √3, … }

TYPES OF SURDS

A surd maybe quadratic, cubic, quartic and so on … depending upon the powers involved.

1. Quadratic surd          :      √5 or 51/2
2. Cubic surd          :      3√5 or 51/3
3. Quartic surd          :      4√5 or 51/4

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