Question

2. नीचे दी गई संख्याओं में से अपरिमेय (Irrational Number) अलग करते है?
72,111, 54.77, 8.2309517693..., 4003.676767..., 37.1298461503...,
0.562018672507..., √2, 8.39, 90, √5, 82, √3​

Answer 1

$\underline{\pink{ Irrational \: numbers:}}$

A number which cannot be expressed as a terminating decimal or a repeating decimal is called an Irrational number.

$i) 72 \: \blue{( Rational \:number )}$

$ii) 111 \: \blue{( Rational \:number )}$

$iii) 54.77\:( Terminating \: decimal )$

$\blue{( Rational \:number )}$

$iv) 8.2309517693\ldots$

$( non\: terminating non- repeating \: decimal )$

$\: \green{( Irrational \:number )}$

$v) 4003.676767\ldots$

$(non - terminating \: repeating \: decimal )$

$\blue{ ( Rational \:number )}$

$vi) 37.1298461503\ldots$

$( non\: terminating non- repeating \: decimal )$

$\: \green{( Irrational \:number )}$

$vii) 0.562018672507\ldots$

$( non\: terminating non- repeating \: decimal )$

$\: \green{( Irrational \:number )}$

$viii) \sqrt{2}$

$\: \green{( Irrational \:number )}$

$ix) 8.39 \: ( Terminating \: decimal )$

$\blue{( Rational \:number )}$

$\sqrt{5} , \sqrt{3} \: \green{( Irrational \:numbers )}$

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