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:

Solution:

Question 2.
Simplify the following expressions:
(i)  (4 + ) (3 + )
(ii) (3 + )(5- )
(iii) ( -2)( – )
Solution:

Question 3.
Simplify the following expressions:
(i)  (11 + ) (11 – )
(ii) (5 + ) (5 – )
(iii) ( – ) (+ )
Solution:

Question 4.
Simplify the following expressions:
(i) (+)²
(ii) ( – )²
(iii) (2 + 3 )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   = 1.4142, = 1-732,   = 2.2360,  =  2.4495 and   = 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 + ) (2 – ).
Solution:
(2+ )(2- ) = (2)²-( )²
{∵ (a + b) (a – b) = a² – b²}
= 4-3=1

Question 2.
Write the reciprocal of 5 + .
Solution:

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

Question 4.

Solution:

Question 5.
If x = – 1 then write the value of .
Solution:

Question 6.
If a = + h then find the value of a –
Solution:

Question 7.
If x = 2 + , find the value of x + .
Solution:

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

Question 9.
Simplify : .
Solution:

Question 10.
Simplify : .
Solution:

Question 11.
If x = 3 + 2 , then find the value of   – .
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 +   is
(a) 2 – 
(b)  + 3
(c)   – 3
(d)  – 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:

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