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1. Which of the following rational numbers have terminating decimal representation?
[1] 3/5 [2] 3/13 [3] 40/27 [4] 23/7 2.
2.How many rational numbers can be found between two distinct rational numbers?
(i)Two (ii) Ten (iii) Zero (iv) Infinite
3. The value of (2+√3 )( 2-√3 ) is
(i)1 (ii)-1 (iii) 2 (iv) none of these
4. (27)-2/3 is equal to _____.
(i) 9 (ii) 1/9 (iii) 3 (iv) none of these
5. Simplify: 3√2 x 4√ 3 .
6. Find the two rational numbers between ½ and 1/3
7. Find two irrational numbers between 2 and 3.
8. Multiply √5 by 6 √2 .
9. Express 0.8888… in the form p/q
10. Simply by rationalizing denominator,( 7 + 3√5) / (7- 3√5).
11. Simplify { ( 625-1/2)-1/4}2 .
12 Visualize 3.76 on the line using successive magnification
13. If x = 1 - √2 , find the value of ( x – 1/x)3 .
14. Divide 12√15 by 4√3.
15. Represent in rational form 1. 23 .
16. Simplify by combining like terms, 23√40 + 3 3√625 - 43√320 .
17.If x = 1/ (2- √3) , find the value of x3 – 2 x2 – 7x + 5.
18. Prove that , 1/( 1+ √2) + 1/ (√2 + √3 ) + 1/ (√3 + √4) + ……… + 1/ (√8 +√9 ) = 2.
20. Find the value of x if ( 2/3 )x (3/2)2x = 81/16 .
21. If a = 2 and b= 3 , find the values of ( ab + ba ) – 1 .
22. Simplify , 4√ 3√ x2 .
23. Simplify , [ (25)3/2 x (243)3/5] / [ ( 16)5/4 x ( 8) 4/3 ] .
24 Which of the expressions are polynomials,
  1. x3 – 5x + 2 . (b) y2 + √2 y -√5. (c) z + 5/z + 1 . (d) 2√x + 7 .
25. Give the coefficient of x in √3 - 2√2x + 4 x2 .
26. Verify that 4 is a zero of the polynomial p(x) = x – 4.
27. Find the remainder when f(x) = 12x3 – 13x2 – 5x + 7 is divided by ( 3x + 2 ).
28. If the polynomial ( 2x3 + ax2 + 3x – 5 ) and ( x3 + x2 – 2x + a ) leave the same reminder when divided by ( x-2 ), find the value of a . Also find the remainder in each case.
29. Show that ( x- 3 ) is a factor of the polynomial , f(x) = x3 +x2 -17x + 15.
30. find the value of k for which (x-4 ) is a factor of ( 2x3-3x2 – 18 x + k).
31. Factorise , (a) x2 + 9x + 18 . (b) 6x2 + 7x + 3.
32. Factorise x3 – 6x2 + 3x + 10 .
33. Factorise 4√3 x2 + 5x - 2√3.
34. Factorise 5(3x +y)2 + 6( 4x +y) – 8 .
35. Expand , ( 3a – 5b – c )2 .
36. Evaluate (997 )2 .
37. Factorise 2x2 + y2 + 8z2 - 2√2 xy + 4√2 yz – 8 xz.
38. Factorise , 8a3 – 27 b3.
39. Factorise ( 2x + 3y )3 – (2x – 3y)3.
40. Factorise , a3 – 8b3 – 64c3 + 24 abc.
41. Factorize (p-q)3 + (q-r)3 + (r - p)3 .
42. If x2 + 1/x2 = 18 , find the value of x3 + 1/x3 .
43. If x – y = 5 and xy = -6 , find the value of x3 – y3.
44. Without actual calculating the cubes evaluate , 283 + ( - 15 )3 + ( - 13 )3.
45. What are the possible expression for the dimensions of a cuboid whose volume is
12ky2 + 8ky – 20 k ?
46. If 3x +y+z = 0 , show that 27 x3 + y3 + z3 = 9xyz .
47. Factorise , 2 x2 - x + 1/8 .
48. Factorise x6 – y6.
49. The sum of 0. 3 and 0. 4 is (a) 7/11 (b) 7/10 (c) 7/9 (d) 11/ 15 .
50. Represent √9.3 on the real number line.

Whoa!!!!!! :-o
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nice questions
 
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Please try yourself

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there are many question 
so please corporate with the some provided here,
1. take L.C.M of DENOMINATOR and check if they are in form of 2n 5m . if so they are terminating and if they aren't they are non terminating
2.D 
3. A2-B2 =(A+B)(A-B) so 4-3=1
4.1/9          cube root 27 =3 (3)-2 1/3*1/3
5. sorry didn't get it
6.0.5 and 0.33333 it can be 0.25 0.2 (express this in fraction form)
7. root 2 and root 3
8. rooted value would be multiplied so, 6root 10 
 I think you should go through your tacher for your problems there are so many problems here so i think you are doing self study 
So please go through your NCERT book .


 
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Please find this answer

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1.1[3/5],[23/72]
2.infinite
3.1
6.10/21,10/22
9. 8/9
others all i will try to answer later.
 
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6239

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5000
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Which of the following rational number have terminating decimal 1)16/225 2)5/18 3)2/21 4)7/250
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Which of the following rational number have termination decimal representation 3 by 5
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Which of the following rational numbers of terminating decimal representation 3 by 5 to 2 by 13 40 by 27 23 by 7
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