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- 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(D) in Chapter 1 - Chapter 1- Rational and Irrational Numbers
Question 1 Exercise 1(D)
Simplify: \frac{\sqrt{18}}{5 \sqrt{18}+3 \sqrt{72}+2 \sqrt{162}}
Answer:
\begin{aligned} & \frac{\sqrt{18}}{5 \sqrt{18}+3 \sqrt{72}-2 \sqrt{162}} \\ =& \frac{\sqrt{18}}{5 \sqrt{18}+3 \sqrt{4 \times 18}-2 \sqrt{9 \times 18}} \\ =& \frac{\sqrt{18}}{5 \sqrt{18}+(3 \times 2 \sqrt{18})-(2 \times 3 \sqrt{18})} \\ =& \frac{\sqrt{18}}{5 \sqrt{18}+6 \sqrt{18}-6 \sqrt{18}} \\ =& \frac{\sqrt{18}}{5 \sqrt{18}=\frac{1}{5}} \end{aligned}
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