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Classify the following numbers as rational or irrational: 2-5 - Mathematics

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Question

Classify the following numbers as rational or irrational:

`2-sqrt5`

Sum
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Solution

`2-sqrt5`

2 is a rational number, and `sqrt5` is an irrational number.

Therefore, `2-sqrt5`  is an irrational number.

∴ The difference of a rational number and an irrational number is irrational.

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Chapter 1: Number Systems - Exercise 1.5 [Page 24]

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NCERT Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.5 | Q 1.1 | Page 24

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