# RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs

RD Sharma Class 9 Mathematics Chapter 3 Exercise VSAQs Rationalisation PDF is available here. The subject matter experts have curatedÂ RD Sharma Class 9Â 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.

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### Access Answers to Maths RD Sharma Solutions for Class 9 Chapter 3 Rationalisation Exercise VSAQs

Question 1: Write the value of (2 + âˆš3) (2 â€“ âˆš3).

Solution:

(2 + âˆš3) (2 â€“ âˆš3)

= (2)2 â€“ (âˆš3)2

[Using identity : (a + b)(a – b) = a2 – b2]

= 4 – 3

= 1

Question 2: Write the reciprocal of 5 + âˆš2.

Solution:

Question 3: Write the rationalisation factor of 7 â€“ 3âˆš5.

Solution:

Rationalisation factor of 7 â€“ 3âˆš5 is 7 + 3âˆš5

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 â€“ 2ab]

Question 5: If x = âˆš2 â€“ 1, then write the value of 1/x.

Solution:

x = âˆš2 â€“ 1

or 1/x = 1/(âˆš2 â€“ 1)

Rationalising denominator, we have

= 1/(âˆš2 â€“ 1) x (âˆš2 + 1)/(âˆš2 + 1)

= (âˆš2 + 1)/(2-1)

= âˆš2 + 1

Question 6: Simplify

Solution:

[ Because: (a + b)2 = a2 + b2 + 2ab ]

Question 7: Simplify

Solution:

[ Because: (a – b)2 = a2 + b2 – 2ab ]

Question 8: If a = âˆš2 +1, then find the value of a â€“ 1/a.

Solution:

Given: a = âˆš2 + 1

1/a = 1/(âˆš2 + 1)

= 1/(âˆš2 + 1) x (âˆš2 – 1)/(âˆš2 – 1)

= (âˆš2 – 1)/ ((âˆš2)2 – (1)2)

= (âˆš2 – 1)/1

= âˆš2 – 1

Now,

a – 1/a = (âˆš2 + 1) – (âˆš2 – 1)

= 2

Question 9: If x = 2 + âˆš3, find the value of x + 1/x.

Solution:

Given: x = 2 + âˆš3

1/x = 1/(2 + âˆš3)

= 1/(2 + âˆš3) x (2 – âˆš3)/(2 – âˆš3)

= (2 – âˆš3)/ ((2)2 – (âˆš3)2)

= (2 – âˆš3)/(4-3)

= (2 – âˆš3)

Now,

x + 1/x = (2 + âˆš3) + (2 – âˆš3)

= 4

Question 10: Write the rationalisation factor of âˆš5 â€“ 2.

Solution:

Rationalisation factor of âˆš5 â€“ 2 is âˆš5 + 2

Question 11: If x = 3 + 2âˆš2, then find the value of âˆšx â€“ 1/âˆšx.

Solution:

## RD Sharma Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs

RD Sharma Solutions Class 9 Maths Chapter 3 Rationalisation Exercise VSAQs is based on the following topics:

• Use of some important algebraic identities
• Rationalisation of denominator