R d sharma solutions mathematics class 9 Solutions for Chapter 3 rationalisation

Exercises in Chapter 3 rationalisation Grade 9

Rationalisation Exercise 3.1

Rationalisation Exercise 3.2

Questions in Rationalisation Exercise 3.1

Simplify each of the following:

Simplify the following expressions: (i) (4 + √7) (3 + √2) (ii) (3 + √3)(5- √2 ) (iii) (√5 -2)( √3 – √5)

Simplify the following expressions: (i) (11 + √11) (11 – √11) (ii) (5 + √7) (5 –√7 ) (iii) (√8 – √2 ) (√8 + √2 ) (iv) (3 + √3) (3 - √3) (v) (√5 - √2) (√5 + √2)

Simplify the following expressions: (i) (√3 + √7)2 (ii) (√5 – √3)2 (iii) (2√5 + 3√2 )2

Questions in Rationalisation Exercise 3.2

: Rationalise the denominators of each of the following (i – vii): (i) 3/ √5

(ii) 3/(2 √5)

(iii) 1/ √12

(iv)√2/ √5

(v) (√3 + 1)/ √2

(vi) (√2 + √5)/ √3

(vii) 3 √2/ √5

Find the value to three places of decimals of each of the following. It is given that √2 = 1.414, √3 = 1.732, √5 = 2.236 and √10 = 3.162

Express each one of the following with rational denominator:

Rationales the denominator and simplify:

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Chapters in this book

Number System

Exponents Of Real Numbers

Rationalisation

Algebraic Identities

Factorization Of Algebraic Expressions

Factorization Of Polynomials

Introduction To Euclid’s Geometry

Lines And Angles

Triangle And Its Angles

Congruent Triangles

Coordinate Geometry

Herons Formula

Linear Equations In Two Variables

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Constructions

Surface Area And Volume Of A Cuboid And Cube

Surface Area And Volume Of a Right Circular Cylinder

Surface Area And Volume Of a Right Circular Cone

Surface Area And Volume Of Sphere

Tabular Representation Of Statistical Data

Graphical Representation Of Statistical Data

Measures Of Central Tendency

Probability

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