# NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.3

NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.3 in English Medium and Hindi Medium PDF form and to use online without download. Click here to get the solutions of 10th maths other chapters. Exercise 1.1, Exercise 1.2 and Exercise 1.4 solutions. These are based on latest CBSE syllabus for 2017-18. All the solutions of class x are being updated as per requirement.

## NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.3

If you need solutions in Hindi, Click for Hindi Medium solutions of 10 Maths Exercise 1.3

Exercise 1.1

Exercise 1.2

Exercise 1.4

##### Class 10 Maths Chapter 1 Exercise 1.3 Solutions in Hindi Medium

Exercise 1.1

Exercise 1.2

Exercise 1.4

To get the solutions in English, Click for English Medium solutions.

##### Important Questions for Practice based on Class x maths exercise 1.3
1. What is the smallest number by which √5 – √2 is to be multiplied to make it a rational number? Also find the number so obtained? (Answer: √5 + √2, Number so obtained is 3)
2. Find one rational and one irrational number between √3 and √5. (Answer: Rational number = 1.8, irrational number = 1.808008000…)
3. Prove that √3 is an irrational number.
4. Prove that √3  – √5 is irrational.
5. Prove that 5 – (3/7) √3 is an irrational number.
6. Prove that 1/(2 – √5) is an irrational number.
7. Solve √45 × √20 and state what type of number is this (Rational number or irrational number). (Answer: 30, Rational Number)

These solutions are given in two format: one is to use it as it is online and the other is available to download in PDF format. It is just for the convenience of students. The questions given above are the important questions based on Real Numbers exercise 1.3. Answers of these questions are given in front of the questions. More questions and board questions will also be uploaded gradually. The solutions of questions will be provided later on.
What is an irrational number?
A number ‘s’ is called irrational if it cannot be written in the form , p/q, where p and q are integers and q ≠ 0. Some examples of irrational numbers are √2, √3, √5, etc. The decimal expression of Irrational numbers are non-terminating and non-repeating.