Question

1. The decimal representation of a rational number can not be
(a) Terminating (b) None terminating (c) Non-Terminating & Repeating (d) None terminating non-repeating
2. The product of any two irrational is
(a) Always an irrational number (b) Always a rational number
(c) Always an integer (d) Sometimes rational, sometimes irrational
3. Which of the following is equal to x?
(a) x12/7-x5/7 (b) (x4)1/3 (c) (x3/2 )2/3
4. The value of is equal to
(a) 2 (b) √2 (c) 4 (d) 8
5. The value of ((22)1/3)1/4 is
(a) 2-1/6 (b) 2-6 (c) 21/6 (d) 26
6. Express 0.003232323232 ...... in the form of P/Q.
7.. Write the following in decimal form and what kind of decimal expansion each has?
(a) 2/15 (b) 329/500
8. Simplify
(√3 – √5) (√ 5 + √3) 7-2 √5
9. If x = 1+ √2, then find the value of (x -
1
)3 x
10. If x =
√ 3 +√ 2 and y = √ 3 – √2 , find the value of( x+y)2 √3 –√ 2 √3 +√ 2
11. If 3 + √7
= a + b √7, find the value of a & b. 3 – √7
12. Find the value of [ (16)1/2 ]1/2
13. Simplify ( 81/16)-3/4 * [(9/25)3/2 ÷ (5/2)-3 ]
14. Find the value of X , if (6/5)x (5/6)2x = 125/216
15. Show that (xa-b)a+b .(xb-c)b+c .(xc-a)c+a = 1
16. Simplify the expression [(3/5)1/4]-1/5 17. If x = 3 + √8 , find the value of (x2 + 1 ) x2
18. Find five rational numbers between 4/5 and 5/6
19. Express 32.1235353535 ..... in the form of P/Q
20. Draw √6 on a number line.
Chapter -2: Polynomials

Answer 1

1. (d) non terminating and non repeating.

2. (d) sometimes rational, sometimes irrational.

3.

4.what r u asking about..

...??

6. Answer is in pic.

7. (a) 0.1333333333...... Non terminating or repeating

(b) 0.658 Terminating

12. I am not sure it would be 4...

18. 25/60,26/60,27/60....

19. 318023/9900...

20. See in the pic.

I have made till √11

See the number line...

Leave rest of the triangles

Make till the √6

Sorry I can't answer all questions but I tried my best....

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