Q8. Prove that (√2+√3) is irrational.

Q7. Prove that (3+5√2) is irrational.

Q6. Show that (1/√2) is an irrational number.

Q5. Show that (2√3) is an irrational number.

Q4. Show that (2+√3) is an irrational number.

Q3. Decide whether the number 0.12012001200012....Is rational or not. Give reason to support your answer.

Q2. Show that each of the following numbers is rational. What can you say about the prime factors of their denominators? 32.123456789¯

Q1. Show that each of the following numbers is rational. What can you say about the prime factors of their denominators? 23.123456789