RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise 3.2

RD Sharma Class 9 Solutions Chapter 3 Ex 3.2 Free Download

RD Sharma class 9 mathematics chapter 3 exercise 3.2 Rationalisation is provided here. Our experts have designed RD Sharma Class 9 chapter 3 solutions in accordance with CBSE syllabus for class 9. Learning this chapter will also help the students to score good marks in the examination. Students can download RD Sharma exercise 3.2 by clicking on the link below.

Download PDF of RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise 3.2

RD Sharma Solution class 9 Maths Chapter 3 Rationalisation 04
RD Sharma Solution class 9 Maths Chapter 3 Rationalisation 05
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RD Sharma Solution class 9 Maths Chapter 3 Rationalisation 10
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RD Sharma Solution class 9 Maths Chapter 3 Rationalisation 12
RD Sharma Solution class 9 Maths Chapter 3 Rationalisation 13

Access Answers to Maths RD Sharma Class 9 Chapter 3 Rationalisation Exercise 3.2

Exercise 3.2

Question 1: 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

Solution:

(i) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 1

= 3/5√5

(ii) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 2

(iii) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 3

(iv) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 4

(v) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 5

(vi) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 6

(vii) Multiply both numerator and denominator to with same number to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 7

Question 2: 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

RD sharma class 9 maths chapter 3 ex 3.2 question 2

Solution:

RD sharma class 9 maths chapter 3 ex 3.2 question 1 solution
RD sharma class 9 maths chapter 3 ex 3.2 question 2 solution
RD sharma class 9 maths chapter 3 ex 3.2 question 2 solutions

Question 3: Express each one of the following with rational denominator:

RD sharma class 9 maths chapter 3 ex 3.2 question 3

Solution:

Using identity: (a + b) (a – b) = a2 – b2

(i) Multiply and divide given number by 3−√2

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 1

(ii) Multiply and divide given number by √6 + √5

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 2

(iii) Multiply and divide given number by √41 + 5

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 3

(iv) Multiply and divide given number by 5√3 + 3√5

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 4

(v) Multiply and divide given number by 2√5 + √3

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 5

(vi) Multiply and divide given number by 2√2 + √3

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 6

(vii) Multiply and divide given number by 6 – 4√2

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 7

(viii) Multiply and divide given number by 2√5 + 3

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 8

(ix) Multiply and divide given number by √(a2+b2) – a

RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 9

Question 4: Rationales the denominator and simplify:

RD sharma class 9 maths chapter 3 ex 3.2 question 4

Solution:

[Use identities: (a + b) (a – b) = a2 – b2 ; (a + b)2 = (a2 + 2ab + b2 and (a – b)2 = (a2 – 2ab + b2 ]

(i) Multiply both numerator and denominator by √3–√2 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 1

(ii) Multiply both numerator and denominator by 7–4√3 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 2

(iii) Multiply both numerator and denominator by 3+2√2 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 3

(iv) Multiply both numerator and denominator by 3√5+2√6 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 4

(v) Multiply both numerator and denominator by √48–√18 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 5

(vi) Multiply both numerator and denominator by 2√2 – 3√3 to rationalise the denominator.

RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 6

RD Sharma Solutions for Class 9 Maths Chapter 3 Exercise 3.2

RD Sharma Solutions Class 9 Maths Chapter 3 Rationalisation Exercise 3.2 is based on rationalisation of the denominator. In this process, we move a root from the bottom of a fraction to the top to simplify the fraction.

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