## RD Sharma Class 9 Solutions Chapter 3 Rationalisation VSAQS

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 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) = a^{2} – b^{2}}

= 4-3=1

Question 2.

Write the reciprocal of 5 + \(\sqrt { 2 } \).

Solution:

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.

Solution:

Question 5.

If x =\(\sqrt { 2 } \) – 1 then write the value of \(\frac { 1 }{ x }\).

Solution:

Question 6.

If a = \(\sqrt { 2 } \) + h then find the value of a –\(\frac { 1 }{ a }\)

Solution:

Question 7.

If x = 2 + \(\sqrt { 3 } \), find the value of x + \(\frac { 1 }{ x }\).

Solution:

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:

Question 10.

Simplify : \(\sqrt { 3-2\sqrt { 2 } }\).

Solution:

Question 11.

If x = 3 + 2 \(\sqrt { 2 } \), then find the value of \(\sqrt { x } \) – \(\frac { 1 }{ \sqrt { x } }\).

Solution:

Hope given RD Sharma Class 9 Solutions Chapter 3 Rationalisation VSAQS are helpful to complete your math homework.

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