Number Systems

1. The value of 22−−√3−−−−√4 is equal to

2. Find the value of 54250−−−√3

3. Simplified value of (16)^–14 × 16−−√4 is

4. Find the value of 64−2−−−−√4.

5. Find the value of 216−−−√3 – 125−−−√3

6. When 1515−−√ is divided by 3√3 find the quotient.

7. If √3 = 1.732 and √2 = 1.414, find the value of 1√3−√2

8. Which of the following numbers is an irrational number?

9. The decimal expansion of √2 is

10. If x = √75 and 5x = p√7, then the value of p is

11. The sum of 0.3¯ and 0.2¯ is

12. (√a + √b) (√a – √b) is

13. 12−−√ × √8 is equal to

14. Find the value of 20+7050

15. A rational number lying between √2 and √3 is

16. The rational number between –15 and –25 is

17. If 8x= 642x then find the value of x.

18. The simplified value of (81)^–14 × 81−−√4 × (81)^0.2 is

19. Value of [(81^-1/2)^-1/4]² is

20. If x^1/12 = 49^1/24 then find the value of x.