Question

TOPIC NUMBUR SYSTEM
SUBJECT. MATHEMATICS
IN ONE VARIABLE
CLASS: IX.

1. Visualize 3.756 on the number line, using successive magnification

2. Represent √3.5 on the number line

3. Express 1.32 +0.35 as a fraction in simplest form.

4. Express 0.1254 in the form p/q form

5. If x = 3+2√2, find the value of x'+1/x?

6. If x=2 +√5, Prove that x + 1 =18


7. Rationalise the denominator ______1__________
√6+√5-√11
8. If a and b are rational numbers, find a and b

a) √2 +√3 /3√2-2√3=a + b √6
b) √5-2/√5+2 -√5+2/√5-2= a+b√5

9. Simplify: a)
1 / √2+
√2 + √3 √3+√4
10. If a = √3+√2 and b = 13-√2, find the value of a +b?
√3 - √2 √3 + √2
2
11. If a = 9-4√5, find the value of
1172
E-va]
(3:
3
12. If x= 1 - √2, find the value of
1/x
13. If x= 3+2 √2, find the value of
√X-__1____
√x

14. If x = 0.125, find the value of (1/x) 1/3

15. If x = V3 + V2 then find the value of x^2
√3 - √2

16.If X=___1_____ , find the
2-√3
value of x^3-2x^2-7x+5

17. Find four rational numbers between 3/5 and 4/5

18. Find two irrational numbers lying between √2 and √3

19. Find two rational and irrational numbers between 0.3101 and 0.3222

20. Simplify the following: a) (576/625^)-1/2

b) (343/1000)-1/3

c) (-1/27)-2/3

d) (0.008)4/3 e) (729)&1/6

21. Simplify and express the result in the simplest form:

(25)3/2 x (243) 2/5
_______________
(16)5/4 x (8)4/3

22. Find the value x, if 5^x-3 x3^ 2x-8=225

23. Solve: a) 49 x 7^x = (343)1/3
b) 2^x= (128)1/7 x (√2)^4
c) If 3^x = 9/27^x , find x

d) (1/7)^4-2x = √7

24. Evaluate: a) 125^-1/3 x 27^1/3 (6^2+8^2)^1/2

b) (17^2 – 8^2)^1/2

c) 64^1/3 (64^1/3 - 64^2/3)

25. Simplify: a) √45 + √80 - 3√
20

b) 7√6 - √252 - √294 +6√7

c) 4√28 +3√7

26. Give an example of two irrational numbers whose: (A) Sum is rational

(B) product is rational
(C) quotient is rational​

Answer 1

Answer:

a

c

b

y

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