RD Sharma Class 9 Solutions Chapter 3 Rationalisation

RD Sharma Class 9 Solutions Chapter 3 Rationalisation

RD Sharma Class 9 Chapter 3 Rationalisation Ex 3.1

Question 1.
Simplify each of the following:
RD Sharma Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Chapter 3 Rationalisation
RD Sharma Solutions Class 9 Chapter 3 Rationalisation ex 3.1

Question 2.
Simplify the following expressions:
(i)  (4 + \(\sqrt { 7 } \)) (3 + \(\sqrt { 2 } \))
(ii) (3 + \(\sqrt { 3 } \) )(5- \(\sqrt { 2 } \))
(iii) (\(\sqrt { 5 } \) -2)(\(\sqrt { 3 } \) – \(\sqrt { 5 } \))
Solution:
RD Sharma Class 9 PDF Chapter 3 Rationalisation

Question 3.
Simplify the following expressions:
(i)  (11 + \(\sqrt { 11 } \)) (11 – \(\sqrt { 11 } \))
(ii) (5 + \(\sqrt { 7 } \) ) (5 – \(\sqrt { 7 } \) )
(iii) (\(\sqrt { 8 } \) – \(\sqrt { 2 } \)) (\(\sqrt { 8 } \)+ \(\sqrt { 2 } \))
Solution:
Rationalisation Class 9 RD Sharma Solutions 3.1

Question 4.
Simplify the following expressions:
(i) (\(\sqrt { 3 } \)+\(\sqrt { 7 } \))2
(ii) (\(\sqrt { 5 } \) – \(\sqrt { 3 } \) )2
(iii) (2\(\sqrt { 5 } \) + 3 \(\sqrt { 2} \))2
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

RD Sharma Solutions Class 9 Chapter 3 Rationalisation Ex 3.2

Question 1.
Rationalise the denominators of each of the following(i – vii):
RD Sharma Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation
RD Sharma Solutions Class 9 Chapter 3 Rationalisation

Question 2.
Find the value to three places of decimals of each of the following. It is given that
RD Sharma Class 9 PDF Chapter 3 Rationalisation
Solution:
Rationalisation Class 9 RD Sharma Solutions
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions

Question 3.
Express each one of the following with rational denominator:
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation
Solution:
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation
RD Sharma Class 9 Book Chapter 3 Rationalisation
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation
Solution Of Rd Sharma Class 9 Chapter 3 Rationalisation

Question 4.
Rationales the denominator and simplify:
RD Sharma Math Solution Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Questions Chapter 3 Rationalisation
Maths RD Sharma Class 9 Chapter 3 Rationalisation
Rationalise Chapter 3 Class 9 RD Sharma Solutions
Rationalise The Denominator Chapter 3 Class 9 RD Sharma Solutions

Question 5.
Simplify:
RD Sharma Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation
RD Sharma Solutions Class 9 Chapter 3 Rationalisation
RD Sharma Class 9 PDF Chapter 3 Rationalisation
Rationalisation Class 9 RD Sharma Solutions

Question 6.
In each of the following determine rational numbers a and b:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation
Solution:
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation
RD Sharma Class 9 Book Chapter 3 Rationalisation
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions

Question 7.
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation
Solution:
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation
Solution Of Rd Sharma Class 9 Chapter 3 Rationalisation

Question 8.
Find the values of each of the following correct to three places of decimals, it being given that \(\sqrt { 2 } \)  = 1.4142, \(\sqrt { 3 } \) = 1-732, \(\sqrt { 5 } \)  = 2.2360, \(\sqrt { 6 } \) =  2.4495 and \(\sqrt { 10 } \)  = 3.162.
Rationalise Chapter 3 Class 9 RD Sharma Solutions
Solution:
Rationalise The Denominator Chapter 3 Class 9 RD Sharma Solutions
RD Sharma Class 9 Chapter 3 Rationalisation

Question 9.
Simplify:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation
Solution:
RD Sharma Solutions Class 9 Chapter 3 Rationalisation
RD Sharma Class 9 PDF Chapter 3 Rationalisation

Question 10.
Rationalisation Class 9 RD Sharma Solutions
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

Question 11.
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions
Solution:
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation

Question 12.
RD Sharma Class 9 Book Chapter 3 Rationalisation
Solution:
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation

Class 9 RD Sharma Solutions Chapter 3 Rationalisation VSAQS

Question 1.
Write the value of (2 + \(\sqrt { 3 } \) ) (2 – \(\sqrt { 3 } \)).
Solution:
(2+ \(\sqrt { 3 } \) )(2- \(\sqrt { 3 } \) ) = (2)2-(\(\sqrt { 3 } \) )2
{∵ (a + b) (a – b) = a2 – b2}
= 4-3=1

Question 2.
Write the reciprocal of 5 + \(\sqrt { 2 } \).
Solution:
RD Sharma Class 9 PDF Chapter 3 Rationalisation VSAQS - 2

Question 3.
Write the rationalisation factor of 7 – 3\(\sqrt { 5 } \) .
Solution:
Rationalising factor of 7 – 3\(\sqrt { 5 } \) is 7 + 3\(\sqrt { 5 } \)
{∵ (\(\sqrt { a } \) + \(\sqrt { b } \)  ) (\(\sqrt { a } \) – \(\sqrt { b } \)) = a-b}

Question 4.
Rationalisation Class 9 RD Sharma Solutions VSAQS
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

Question 5.
If x =\(\sqrt { 2 } \) – 1 then write the value of \(\frac { 1 }{ x }\).
Solution:
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions VSAQS

Question 6.
If a = \(\sqrt { 2 } \) + h then find the value of a –\(\frac { 1 }{ a }\)
Solution:
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation

Question 7.
If x = 2 + \(\sqrt { 3 } \), find the value of x + \(\frac { 1 }{ x }\).
Solution:
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation

Question 8.
Write the rationalisation factor of \(\sqrt { 5 } \) – 2.
Solution:
Rationalisation factor of \(\sqrt { 5 } \) – 2 is \(\sqrt { 5 } \) + 2 as
(\(\sqrt { a } \) + \(\sqrt { b } \))(\(\sqrt { a } \) – \(\sqrt { b } \)) = a – b

Question 9.
Simplify : \(\sqrt { 3+2\sqrt { 2 } }\).
Solution:
RD Sharma Class 9 Book Chapter 3 Rationalisation

Question 10.
Simplify : \(\sqrt { 3-2\sqrt { 2 } }\).
Solution:
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions

Question 11.
If x = 3 + 2 \(\sqrt { 2 } \), then find the value of  \(\sqrt { x } \) – \(\frac { 1 }{ \sqrt { x } }\).
Solution:
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation

Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions MCQS

Mark the correct alternative in each of the following:

Question 1.
RD Sharma Class 9 Chapter 3 Rationalisation MCQS
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation

Question 2.
RD Sharma Solutions Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 PDF Chapter 3 Rationalisation

Question 3.
Rationalisation Class 9 RD Sharma Solutions
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

Question 4.
The rationalisation factor of 2 + \(\sqrt { 3 } \)  is
(a) 2 – \(\sqrt { 3 } \)
(b) \(\sqrt { 2 } \) + 3
(c)  \(\sqrt { 2 } \) – 3
(d) \(\sqrt { 3 } \) – 2
Solution:
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions

Question 5.
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation
Solution:
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation

Question 6.
RD Sharma Class 9 Book Chapter 3 Rationalisation
Solution:
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation

Question 7.
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation
Solution:
Solution Of Rd Sharma Class 9 Chapter 3 Rationalisation

Question 8.
Rationalise Chapter 3 Class 9 RD Sharma Solutions
Solution:
Rationalise The Denominator Chapter 3 Class 9 RD Sharma Solutions

Question 9.
RD Sharma Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation

Question 10.
RD Sharma Solutions Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 PDF Chapter 3 Rationalisation

Question 11.
Rationalisation Class 9 RD Sharma Solutions
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

Question 12.
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions
Solution:
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation

Question 13.
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Book Chapter 3 Rationalisation
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions

Question 14.
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation
Solution:
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation
Solution Of Rd Sharma Class 9 Chapter 3 Rationalisation

Question 15.
Rationalise Chapter 3 Class 9 RD Sharma Solutions
Solution:
Rationalise The Denominator Chapter 3 Class 9 RD Sharma Solutions

Question 16.
RD Sharma Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation
RD Sharma Solutions Class 9 Chapter 3 Rationalisation

Question 17.
RD Sharma Class 9 PDF Chapter 3 Rationalisation
Solution:
Rationalisation Class 9 RD Sharma Solutions

Question 18.
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Solution:
Class 9 RD Sharma Solutions Chapter 3 Rationalisation
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions

Question 19.
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation
Solution:
RD Sharma Book Class 9 Pdf Free Download Chapter 3 Rationalisation

Question 20.
RD Sharma Class 9 Book Chapter 3 Rationalisation
Solution:
Rationalisation Problems With Solutions PDF RD Sharma Class 9 Solutions

Question 21.
RD Sharma Class 9 Maths Book Questions Chapter 3 Rationalisation
Solution:
RD Sharma Mathematics Class 9 Solutions Chapter 3 Rationalisation
Solution Of Rd Sharma Class 9 Chapter 3 Rationalisation

Question 22.
Rationalise Chapter 3 Class 9 RD Sharma Solutions
Solution:
Rationalise The Denominator Chapter 3 Class 9 RD Sharma Solutions

Question 23.
RD Sharma Solutions Class 9 Chapter 3 Rationalisation
Solution:
RD Sharma Class 9 PDF Chapter 3 Rationalisation

Question 24.
Rationalisation Class 9 RD Sharma Solutions
Solution:
RD Sharma Class 9 Solution Chapter 3 Rationalisation
Class 9 RD Sharma Solutions Chapter 3 Rationalisation

Question 25.
Class 9 Maths Chapter 3 Rationalisation RD Sharma Solutions MCQS
Solution:
RD Sharma Book Class 9 PDF Free Download Chapter 3 Rationalisation

RD Sharma Class 9th Solutions Chapter 3 Rationalisation Exercise 3.1
Q1 Q2 Q3 Q4

RD Sharma Class 9th Solutions Chapter 3 Rationalisation Exercise 3.2
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11

RD Sharma Class 9 Solutions

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