RD Sharma Chapter 3 : Rationalisation Exercise 3.2 Solutions

1. Rationalise the denominator of 3/√5 Watch Solution
2. Rationalise the denominator of 3/(2√5) Watch Solution
3. Rationalise the denominator of 1/√12 Watch Solution
4. Rationalise the denominator of √2/√5 Watch Solution
5. Rationalise the denominator of (√3+1)/√2 Watch Solution
6. Rationalise the denominator √2+√5/√3 and 3√2/√5 Watch Solution
7. Find the value 2/√3 to three places of decimals. It is given that √2=1/414, √3 = 1/732, √5=2.236 and √10 =  3.162. Watch Solution
8. Find the value 3/√10 to three places of decimals. It is given that √2=1/414, √3 = 1/732, √5=2.236 and √10 =  3.162. Watch Solution
9. Find the value √5+1/√2 to three places of decimals. It is given that √2=1/414, √3 = 1/732, √5=2.236 Watch Solution
10. Find the value √10+√15/√2 to three places of decimals. It is given that √2=1/414, √3 = 1/732, √5=2.236 and √10 =3.162. Watch Solution
11. Find the value 2+√3/3 and √2-1/√5 to three places of decimals. It is given that √2=1/414, √3 = 1/732, √5=2.236 and √10 =3.162. Watch Solution
12. Express the following with rational denominator: √6/(√2+√3) Watch Solution
13. Express the following with rational denominator: 1/(√6-√5) Watch Solution
14. Express the following with rational denominator: 16/(√41 – 5) Watch Solution
15. Express the following with rational denominator: 30/(5√3-3√5) Watch Solution
16. Express the following with rational denominator: 1/(2√5-√3) Watch Solution
17. Express the following with rational denominator: (√3+1)/(2√2-√3) Watch Solution
18. Express the following with rational denominator: (6-4√2)/(6+4√2) Watch Solution
19. Express the following with rational denominator: √b^2/{√(a^2+√b^2)+a} Watch Solution
20. Express the following with rational denominator: (3√2+1)/(2√5-3) Watch Solution
21. Express the following with rational denominator: (2+√3)/(2-√3) Watch Solution
22. Rationalise the denominator and simplify: (2√6-√5)/(3√5-2√6) Watch Solution
23. Rationalise the denominator and simplify: (5+2√3)/(7+4√3) Watch Solution
24. Rationalise the denominator and simplify: (1+√2)/(3-2√2) Watch Solution
25. Rationalise the denominator and simplify: (4√3+5√2)/(√48+√18) Watch Solution
26. Rationalise the denominator and simplify: (√3-√2)/(√3+√2) Watch Solution
27. Rationalise the denominator and simplify: (3√5+√3)/(√5-√3) Watch Solution
28. Simplify : (√5+√3)/(√5-√3) + (√5-√3)/(√5+√3) Watch Solution
29. Simplify : 1/(2+√3) + 2/(√5-√3) + 1/(2-√5) Watch Solution
30. Simplify : 2/(√5+√3) + 1/(√3+√2) + 3/(√5+√2) Watch Solution
31. Determine rational numbers a and b : (√3 – 1)/(√3 + 1) = a – b√3 Watch Solution
32. Determine rational numbers a and b : (4 + √2)/(2 + √2) = a – √b Watch Solution
33. Determine rational numbers a and b : (3 + √2)/(3 – √2) = a + b√ 2 Watch Solution
34. Determine rational numbers a and b : (√11 – √7)/(√11 + √7) = a – b√77 Watch Solution
35. Determine rational numbers a and b : (4 + 3√5)/(4 – 3√5) = a + b√5 Watch Solution
36. Determine rational numbers a and b : (3 – √5)/(3 + 2√5) = a√5 + b Watch Solution
37. Find the value of 6/(√5 – √3), it being given that √3 = 1/732 and √5 = 2.236. Watch Solution
38. Find the values of (3-√5)/(3+2√5) correct to three places of decimals, it being given that √2=1.4142, √3 = 1.732, √5 = 2.2360,√6= 2.4495 and √10 = 3.162. Watch Solution
39. Find the values of (1+√2)/(3-2√2) correct to three places of decimals, it being given that √2=1.4142, √3 = 1.732, √5 = 2.2360,√6= 2.4495 and √10 = 3.162. Watch Solution
40. Find the values of 4/(3√3-2√2) + 3/(3√3+2√2) correct to three places of decimals, it being given that √2=1.4142, √3 = 1.732, √5 = 2.2360,√6= 2.4495 and √10 = 3.162. Watch Solution
41. Simplify : (3√2-2√3)/(3√2+2√3) + √12/(√3-√2) Watch Solution
42. Simplify : (7+3√5)/(3+√5) – (7-3√5)/(3-√5) Watch Solution
43. Simplify : 7√3/(√10+√3) – 2√5/(√6+√5) – 3√2/(√15+3√2) Watch Solution
44. If x = 2 + √3, find the value of x^3 + 1/x^3. Watch Solution
45. If x = 3 + √8, find the value of x^2 + 1/x^2 Watch Solution
46. If x = (√3+1)/2, find the value of 4x^3 + 3x^2 – 8x + 7. Watch Solution
47. If a = (3+√5)/2, then find the value of a^2 + 1/a^2. Watch Solution
48. If a = 5 + 2√6 and b = 1/a, then find the value of a^2 + b^2. Watch Solution
49. If 6/(3√2-2√3) = 3√2- a√3, find the value of a. Watch Solution

3. Rationalisation – R.D. Sharma Class 9th Maths

1. Rationalisation Exercise 3.1 Video Solutions
2. Rationalisation Exercise 3.2 Video Solutions
3. Rationalisation Very Short Answer Questions (VSAQs) Video Solutions
4. Rationalisation Fill in the Blanks (FBQs) Video Solutions
5. Rationalisation Multiple Choice Questions (MCQs) Video Solutions