Question

explain with an example how irrational numbers different from rational numbers ​

Answer 1

Answer:

Rational Number is defined as the number which can be expressed as a fraction

q

p

for any integers p,q. An irrational number is a number which cannot be expressed as a fraction

q

p

for any integers p,q.

In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

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Answer 2

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

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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