RBSE Solutions for Class 9 Maths Chapter 2 Number System Ex 2.2

RBSE Solutions for Class 9 Maths Chapter 2 Number System Ex 2.2 is part of RBSE Solutions for Class 9 Maths. Here we have given RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 2 Number System Ex 2.2.

Board	RBSE
Class	Class 9
Subject	Maths
Chapter	Chapter 2
Chapter Name	Number System
Exercise	Ex 2.2
Number of Questions Solved	3
Category	RBSE Solutions

RBSE Solutions for Class 9 Maths Chapter 2 Number System Ex 2.2

Question 1.
Classify the following numbers (RBSESolutions.com) as rational or irrational.

Solution:
(i) 2 – √5 is an irrational number.
(ii) (3 + √23) – √23 = 3 + √23 – √23 = 3
Hence, it is (RBSESolutions.com) a rational number.
\(\frac { 2\sqrt { 11 } }{ 7\sqrt { 11 } } =\frac { 2 }{ 7 } \)
Hence, it a rational number.
(iv) \(\frac { 1 }{ \sqrt { 3 } } \) is an irrational number.
(v) 2π is an irrational number.

Question 2.
Rationalist the (RBSESolutions.com) denominator of the following:

Solution:

Question 3.
\(\frac { 3+2\sqrt { 2 } }{ 3-\sqrt { 2 } } =a+b\sqrt { 2 } \), where a and b are rational, then (RBSESolutions.com) find the values of a and b.
Solution:
\(\frac { 3+2\sqrt { 2 } }{ 3-\sqrt { 2 } } =a+b\sqrt { 2 } \)
Rationalizing the denominator of L.H.S. by multiplying and dividing by 3 + √2

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