**RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization:** Are looking for some profound guidebooks to start your mathematics exam preparation? Well, we are here with RD Sharma Solutions Class 9 Maths Chapter 3 for you to check out. Not only it is a proven guide book that helps students with robust Class 9 Maths exam preparation, but also one of the significant options of maths solutions that you can rely upon.

Table of Contents

**Download RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization: PDF**

RD Sharma Solutions Class 9 Maths Chapter 3

**Class 9 Maths RD Sharma Solutions Chapter 3 Rationalization: Exercise wise Solutions**

RD Sharma Solutions Class 9 Chapter 3 Exercise 3.1 |

RD Sharma Solutions Class 9 Chapter 3 Exercise 3.2 |

**Access answers of ****RD Sharma Solutions Class 9 Maths Chapter 3**

### RD Sharma Class 9 Chapter 3 Rationalisation Ex 3.1

Question 1.

Simplify each of the following:

Solution:

Question 2.

Simplify the following expressions:

(i) (4 + 7–√) (3 + 2–√)

(ii) (3 + 3–√ )(5- 2–√)

(iii) (5–√ -2)(3–√ – 5–√)

Solution:

Question 3.

Simplify the following expressions:

(i) (11 + 11−−√) (11 – 11−−√)

(ii) (5 + 7–√ ) (5 – 7–√ )

(iii) (8–√ – 2–√) (8–√+ 2–√)

Solution:

Question 4.

Simplify the following expressions:

(i) (3–√+7–√)^{2}

(ii) (5–√ – 3–√ )^{2}(iii) (25–√ + 3 2–√)^{2}

Solution:

### RD Sharma Solutions Class 9 Chapter 3 Rationalisation Ex 3.2

Question 1.

Rationalise the denominators of each of the following(i – vii):

Solution:

Question 2.

Find the value to three places of decimals of each of the following. It is given that

Solution:

Question 3.

Express each one of the following with rational denominator:

Solution:

Question 4.

Rationales the denominator and simplify:

Solution:

Question 5.

Simplify:

Solution:

Question 6.

In each of the following determine rational numbers a and b:

Solution:

Question 7.

Solution:

Question 8.

Find the values of each of the following correct to three places of decimals, it being given that 2–√ = 1.4142, 3–√ = 1-732, 5–√ = 2.2360, 6–√ = 2.4495 and 10−−√ = 3.162.

Solution:

Question 9.

Simplify:

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

### Class 9 RD Sharma Solutions Chapter 3 Rationalisation VSAQS

Question 1.

Write the value of (2 + 3–√ ) (2 – 3–√).

Solution:

(2+ 3–√ )(2- 3–√ ) = (2)^{2}-(3–√ )^{2}{∵ (a + b) (a – b) = a^{2} – b^{2}}

= 4-3=1

Question 2.

Write the reciprocal of 5 + 2–√.

Solution:

Question 3.

Write the rationalisation factor of 7 – 35–√ .

Solution:

Rationalising factor of 7 – 35–√ is 7 + 35–√

{∵ (a−−√ + b√ ) (a−−√ – b√) = a-b}

Question 4.

Solution:

Question 5.

If x =2–√ – 1 then write the value of 1x.

Solution:

Question 6.

If a = 2–√ + h then find the value of a –1a

Solution:

Question 7.

If x = 2 + 3–√, find the value of x + 1x.

Solution:

Question 8.

Write the rationalisation factor of 5–√ – 2.

Solution:

Rationalisation factor of 5–√ – 2 is 5–√ + 2 as

(a−−√ + b√)(a−−√ – b√) = a – b

Question 9.

Simplify : 3+22–√−−−−−−−√.

Solution:

Question 10.

Simplify : 3−22–√−−−−−−−√.

Solution:

Question 11.

If x = 3 + 2 2–√, then find the value of x−−√ – 1x√.

Solution:

### Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions MCQS

Mark the correct alternative in each of the following:

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

The rationalisation factor of 2 + 3–√ is

(a) 2 – 3–√

(b) 2–√ + 3

(c) 2–√ – 3

(d) 3–√ – 2

Solution:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

Question 21.

Solution:

Question 22.

Solution:

Question 23.

Solution:

Question 24.

Solution:

Question 25.

Solution:

**Important Topics: RD Sharma Solutions Class 9 Maths Chapter 3**

The chapter comprises the three most vital topics that you need to have a look at. These are –

- Rationalization Introduction
- Rationalization of the denominator
- Some important algebraic identities

Well, this is everything that you need to complete your maths syllabus on time. RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization is exactly what you need to study the 3rd chapter from class 9 maths syllabus. If you have any doubts regarding the CBSE Class 9 Maths exams, ask in the comments.

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