Question

2. Explain with an example how irrational numbers differ from rational numbers?​

Answer 1

answer:

Numbers that can be expressed as ratio of two numbers (p/q form) are termed as rational number. Numbers that cannot be expressed in the form of ratio are termed as irrational numbers.

example: 3/2= 1.5, 3.6767 (can be expressed as ratio, so they are rational numbers)

√5, √13 (cannot be expressed as ratio, so they are irrational number)

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Answer 2

$\sf \underline \red{Solution:}$

An irrational number is a real number which can be written as a decimal but not as a fraction i.e. it cannot be expressed as a ratio of integers.

It cannot be expressed as terminating or repeating decimal.

For example, √2 is an irrational number

A rational number is a real number which can be written as a fraction and as a decimal i.e. it can be

expressed as a ratio of integers.

It can be expressed as terminating or repeating decimal.

For examples: 0.10 and 5/3 are rational numbers

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