Class 9th Maths – RD Sharma Chapter 3 : Rationalisation Exercise 3.2 Solutions (Step-by-Step Guide)

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 an 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+1)/2, find the value of 4x^3 + 3x^2 – 8x + 7. Watch Solution
46. If a = (3+√5)/2, then find the value of a^2 + 1/a^2. Watch Solution
47. If a = 5 + 2√6 and b = 1/a, then find the value of a^2 + b^2. Watch Solution
48. If 6/(3√2-2√3) = 3√2- a√3, find the value of a. Watch Solution