- 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 in ascending order:
(i) 𝟑√𝟓 𝒂𝒏𝒅 𝟒√𝟑
(ii) 𝟐 √𝟓 𝟑 𝒂𝒏𝒅 𝟑 ³√𝟐
(iii) 𝟔√𝟓, 𝟕√𝟑 𝒂𝒏𝒅 𝟖√𝟐
(i) 3 \sqrt{5}=\sqrt{3^{2} \times 5}=\sqrt{45}, 4 \sqrt{3}=\sqrt{4^{2} \times 3}=\sqrt{48} We know that, 45 < 48
\therefore \sqrt{45}<\sqrt{48} \Rightarrow 3 \sqrt{5}<4 \sqrt{3}
(ii) 2 \sqrt[3]{5}=\sqrt[3]{2^{3} \times 5}=\sqrt[3]{40}, 3 \sqrt[3]{2}=\sqrt[3]{3^{3} \times 2}=\sqrt[3]{54}
We know that,40 < 54
\begin{array}{l} \Rightarrow \sqrt[3]{40}<\sqrt[3]{54} \\ \Rightarrow 2 \sqrt[3]{5}<3 \sqrt[3]{2} \end{array}
(iii) 6 \sqrt{5}=\sqrt{6^{2} \times 5}=\sqrt{180}
We know that, 128 < 147 < 180
\begin{array}{l} \therefore \sqrt{128}<\sqrt{147}<\sqrt{180} \\ \Rightarrow 8 \sqrt{2}<7 \sqrt{3}<6 \sqrt{5} \end{array}
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