SURDS

FURTHER MATHEMATICS SSS1 FIRST TERM   

WEEK 9

SURDS

Contents

• Rules of surds
• Basic Form of Surds
• Similar Surds
• Conjugate Surds
• Simplification of Surds
• Additional & Subtraction of Surds
• Multiplication and Division of Surds
• Rationalization of Surds
• Equality of Surds

Rules of Surds

 Surds are irrational numbers. They are the root of rational numbers whose value cannot be expressed as exact fractions. Examples of surds are √2, √7, √12, √18, etc.

1. √(a X b ) = √a X √ b
2. √(a / b )  = √a  / √b
3. √(a + b ) ≠ √a +  √b
4. √(a – b ) ≠ √a -  √b 

Basic Forms of Surds

      √a is said to be in its basic form if A does…