- Chapter 1- Rational and Irrational Numbers
- Chapter 2- Compound Interest [Without Using Formula
- Chapter 3- Compound Interest [Using Formula
- Chapter 4- Expansions
- Chapter 5- Factorisation
- Chapter 6- Simultaneous Equations
- Chapter 7- Indices [exponents]
- Chapter 8- Logarithms
- Chapter 9- Triangles [Congruency in Triangles]
- Chapter 10- Isosceles Triangle
- Chapter 11- Inequalities
- Chapter 12- Mid-Point and Its Converse
- Chapter 13- Pythagoras Theorem
- Chapter 14- Rectilinear Figures
- Chapter 15- Construction of Polygons
- Chapter 16- Area Theorems
- Chapter 17- Circles
- Chapter 18- Statistics
- Chapter 19- Mean and Median
- Chapter 20- Area and Perimeter of Plane Figures
- Chapter 21- Solids
- Chapter 22- Trigonometrical Ratios
- Chapter 23- Trigonometrical Ratios of Standard Angles
- Chapter 24- Solution Of Right Triangles
- Chapter 25- Complementary angles
- Chapter 26- Co-ordinate Geometry
- Chapter 27- Graphical Solution
- Chapter 28- Distance Formula
Selina Solutions Class 9 Mathematics Solutions for Exercise 1(B) in Chapter 1 - Chapter 1- Rational and Irrational Numbers
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Write three rational numbers between √𝟑 𝒂𝒏𝒅 √𝟓.
Let us take any two rational numbers between 3 and 5 which are perfect
squares.
For example, let us consider, 3.24, 3.61, 4, 4.41 and 4.84
Now, \begin{aligned} &\text { Thus we have, }\\ &\sqrt{3}<\sqrt{3.24}<\sqrt{3.61}<\sqrt{4}<\sqrt{4.41}<\sqrt{4.84}<\sqrt{5}\\ &\Rightarrow \sqrt{3}<1.8<1.9<2<2.1<2.2<\sqrt{5}\\ &\Rightarrow \sqrt{3}<\frac{18}{10}<\frac{19}{10}<2<\frac{21}{10}<\frac{22}{10}<\sqrt{5}\\ &\Rightarrow \sqrt{3}<\frac{9}{5}<\frac{19}{10}<2<\frac{21}{10}<\frac{11}{5}<\sqrt{5} \end{aligned} \begin{aligned} &\text { Therefore, any three rational numbers between } \sqrt{3} \text { and } \sqrt{5} \text { are: }\\ &\frac{9}{5}, \frac{19}{10} \text { and } \frac{21}{10} \end{aligned}
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