Exersice 1.3 Class 10 NCERT Solutions pdf with small and detailed answers

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.3 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question 1 

NCert SOLUTION CLASS 10

 

Chapter 1 - Real Numbers Exercise Ex. 1.3

Solution 1

Let us assume, on the contrary that  is a rational number.
Therefore, we can find two integers a,b (b # 0) such that  = 
Where a and b are co-prime integers.




Therefore, a^₂ is divisible by 5 then a is also divisible by 5.

So a = 5k, for some  integer k.




This means that b² is divisible by 5 and hence, b is divisible by 5.
This implies that a and b have 5 as a common factor.
And this is a contradiction to the fact that a and b are co-prime. Concept Insight: There are various ways of proving in mathematics proof by contradiction is one of them. In this approach we assume something which is contrary to what needs to be proved and arrive at a fact which contradicts something which is true in general. Key result used here is "If P is a prime number and it divides a^₂ then it divides a as well".

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.3 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question 2

Solution 2

Therefore, we can find two integers a, b (b  0) such that Concept Insight: This problem is solved using proof by contradiction. The key concept used is if p is prime number then  is irrational. Do not prove this question by assuming sum of rational and irrational is irrational.

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.3 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question 3

Solution 3

Concept Insight: This problem is solved using proof by contradiction. The key concept used is if p is prime number then is irrational.Do not prove this question by assuming sum or product of rational and irrational is irrational.

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We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.2 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question1

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.2 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question 2

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.2 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.3

here it is solution of question 3

if you not read the previous blog please read it. it is the solution to exercise 1.1 AND EXERCISE 1.2

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