The document Practice Worksheet (Part - 2) - Number System Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.

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**Q.1. The value of is(a) 0.45(b) (c) 45/1000(d) Ans.**

9900 x = 2300

x = 23/99

Similarly x = 22/99

(a)

(b)

(c)

(d)

Ans.

Q.3. If

Ans.

(a)

(b)

(c)

(d)

Ans.

((23 + 2

(9+11)

Hence option (c) is correct.

**find a ^{2} - b^{2 }, a+ b**

= -9 - 4âˆš5

a+b = 4âˆš5 - 9 - 9 - 4âˆš5 = -18

a-b = 4âˆš5 - 9 + 9 + 4âˆš5 = 8âˆš5

a

= -18 x 8âˆš5

= - 144âˆš5

Pick any two number between them;

0.521, 0.527

Example: âˆš2, âˆš3, âˆš11 etc.

Example: 2, 3/4, 4/3, 0, 1, -2

Squaring both side,

13 - aâˆš10 = 8+5+ 2âˆš40

-aâˆš10 = 2âˆš40

a = -4

x + âˆš13 = 4

x= 4 - âˆš13

1/x = 1/ 4 - âˆš13

11

x = 13, y = -3

= 13 + 2âˆš42 + 13 - 2âˆš42 - 2

= 24

x = 7 + 4âˆš3

1/x = y and y = 1/x,

so,

= (7 - 4âˆš3)

= 49-48 - 56âˆš3 + 49 + 48 + 56âˆš3

= 194

suppose 4

m - m/4 = 24

3m/4 = 24

m = (24 x 4)/3

m = 32

âˆ´ 4

= 2

= 2x = 5

=x = 5/2

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