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.
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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) = a2 – b2}
= 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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