RD Sharma Solutions for Class 9 Mathematics Chapter 3 Exercise VSAQs Rationalisation are available here. The subject-matter experts at BYJU’S have curated RD Sharma Class 9 Chapter 3 solutions as per the latest CBSE syllabus. Studying this chapter will help the students to score good marks in the final examination. Students can access RD Sharma Solutions for Class 9 Maths Chapter 3 Exercise VSAQs by clicking on the link below.
RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs
Access Answers to RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs
Question 1: Write the value of (2 + √3) (2 – √3).
Solution:
(2 + √3) (2 – √3)
= (2)2 – (√3)2
[Using identity : (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 – 3√5.
Solution:
The rationalisation factor of 7 – 3√5 is 7 + 3√5
Question 4: If
Find the values of x and y.
Solution:
[Using identities : (a + b)(a – b) = a2 – b2 and (a – b)2 = a2 + b2 – 2ab]
Question 5: If x = √2 – 1, then write the value of 1/x.
Solution:
x = √2 – 1
or 1/x = 1/(√2 – 1)
Rationalising denominator, we have
= 1/(√2 – 1) x (√2 + 1)/(√2 + 1)
= (√2 + 1)/(2-1)
= √2 + 1
Question 6: Simplify
Solution:
Question 7: Simplify
Solution:
Question 8: If a = √2 +1, then find the value of a – 1/a.
Solution:
Given: a = √2 + 1
1/a = 1/(√2 + 1)
= 1/(√2 + 1) x (√2 – 1)/(√2 – 1)
= (√2 – 1)/ ((√2)2 – (1)2)
= (√2 – 1)/1
= √2 – 1
Now,
a – 1/a = (√2 + 1) – (√2 – 1)
= 2
Question 9: If x = 2 + √3, find the value of x + 1/x.
Solution:
Given: x = 2 + √3
1/x = 1/(2 + √3)
= 1/(2 + √3) x (2 – √3)/(2 – √3)
= (2 – √3)/ ((2)2 – (√3)2)
= (2 – √3)/(4-3)
= (2 – √3)
Now,
x + 1/x = (2 + √3) + (2 – √3)
= 4
Question 10: Write the rationalisation factor of √5 – 2.
Solution:
The rationalisation factor of √5 – 2 is √5 + 2
Question 11: If x = 3 + 2√2, then find the value of √x – 1/√x.
Solution:
RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs
RD Sharma Solutions Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs are based on the following topics:
- Use of some important algebraic identities
- Rationalisation of denominator
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