## 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) = a^{2} – b^{2}}

= 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