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# NCERT Solutions for Class 10 Maths Chapter 1 Exercise 1.2 Real Numbers - PDF Download

Class 10 NCERT solutions for class 10 maths chapter 1 real numbers ex 1.2 have been prepared by our subject experts in order to assist the students in preparing for the CBSE exams. NCERT solution for ex 1.2 class 10 maths ch 1 is designed to provide the students with dependable study material. eSaral NCERT solutions for ex 1.2 class 10 maths chapter 1 helps the students in understanding the basic concepts of the ex 1.2 and helps in understanding and clarifying the various questions in the class 10 maths 1.2 Exercise.

Ex 1.2 in class 10 is the second exercise in Chapter-1. The main topic of this exercise is revisiting irrational numbers. Before solving questions of ex 1.2, it is essential to have a basic knowledge of rational numbers and irrational numbers.

This exercise is mainly focused on the concept of proving if a number is irrational. To solve this problem, we first assume that the number is rational. Then, we use the theorem explained below to prove that the given number is irrational.

## Topics Covered in Exercise 1.2 Class 10 Mathematics Questions

NCERT solutions class 10 maths chapter 1 ex 1.2 includes fundamental topics and theorems that are covered in this exercise.

 1 Revisiting Irrational Numbers 2 Theorem 1.2 3 Theorem 1.3
1. Revisiting Irrational Numbers - Irrational numbers are any number that can't be represented as p/q, where p and q are integers and q≠0. For example, the number "2,π".

Rational Number - Rational numbers are any number that can be represented as a       positive integer, a negative integer, a fraction, or zero. They can be written as p/q, where q is not equal to 0. For example 3/2 is a rational number.

1. Theorem 1.2 - Let p be a prime number. If p divides a2 , then p divides a, where a is a positive integer.

2. Theorem 1.3 -  √2  is irrational.

## Tips for Solving Exercise 1.2 Class 10 Chapter 1 Real Numbers

We've given you some helpful tips on how to deal with ex 1.2 in class 10 chapter 1.

1. NCERT solutions class 10 maths chapter 1 ex 1.2 cover questions that are based on proving whether a number is  irrational or not. To prove that number is irrational or not, students can use the simple method of assuming that the number is rational and then trying to express the number as p/q (where p and q are integers).

2. NCERT solutions for class 10 maths chapter 1 ex 1.2 method of contradictions in real numbers is derived from the method of assuming that a statement is true. So, while proving the statement, If we get results that contradict our assumption, we prove it contrary. For example, if we need to prove that irrational number 5 is irrational, then we will assume that it is rational.

## Importance of Solving Ex 1.2 Class 10 Maths Chapter 1 Real Number

After solving the questions from chapter 1 ex 1.2, you will gain a lot of importance for the CBSE Maths Exam class 10

1. Stepwise solutions provided by our subject experts for ex 1.2 will help you get higher marks.

2. It contains all the important topics and concepts that are essential for class 10 board exams are explained in questions in ex 1.2.

3. These NCERT Solutions help you solve and revise the ex 1.2 questions in an easy to understand manner.

4. NCERT guidelines are followed by these solutions which helps in preparing the students accordingly for the exam.