1. Integrated Mathematics
Surds

2. Irrational Number
Number that cannot be expressed as a fraction of two integers

3. x x x Think! Which of the following is NOT a irrational number?

4. Rules of Indices and Surds

5. Simplify

6. Simplify

7. Simplify

8. Simplify

9. Simplify

10. Rationalization of the Denominator
Process of removing a surd from the denominator
Example:

11. Objective is to remove surds from denominator
Example:
Note!
Multiple together!
Objective is to remove surds from denominator
Conjugate Surds

12. Re-look into the question:
Multiply conjugate surds
Multiply denominator and numerator

13. Rationalize the denominators:
Multiply conjugate surds
Multiply denominator and numerator

14. Rationalize the denominators:
Multiply conjugate surds
Multiply denominator and numerator

15. Rationalize the denominators:
Multiply conjugate surds
Multiply denominator and numerator

16. Rationalize the denominators:
Multiply conjugate surds
Multiply denominator and numerator

17. Rationalize the denominators:
Multiply conjugate surds
Multiply denominator and numerator

18. Multiply denominator and numerator
Rationalize the denominators:
Determine the LCM
Multiply denominator and numerator

19. Expand the denominators
Rationalize the denominators:
Expand the denominators
Find the LCM

20. Rationalize the denominators:
Same denominator
Rationalization