Question

Which of the following is an irrational number?

(a)0.142857142857142857....

(b) 22/7

(c) π

(d) √4/11​

Answer 1

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

$A \: number ,\:which \: cannot \:be \\ expressed\:in \:the \:form \: \frac{p}{q} , \\where \: p \:and \: q \: are \: co - prime \: integers \\and \: q≠0,\: is \: called \: an \: irrational \: number</p><p>$

$(a) 0.142857142857142857\cdot\cdot\cdot$

$= 0.\overline {142857}\\ \pink {(The \: decimal \: is \: non - terminating \: repeating )}$

$This \: is \: a \: rational \: number .$

$(b) \frac{22}{7} \: is \: of \: the \:form \: \frac{p}{q}$

$This \: is \: a \: rational \: number .$

$(c) \pi \: is \: non - terminating \: and \\non - repeating \: decimal$

$\green { This \: is \:an \: irrational \: number. }$

$(d) \sqrt{\frac{4}{11}} = \frac{2}{\sqrt{11}}$ $\green { This \: is \:an \: irrational \: number. }$

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Answer 2

Answer:

pai is the right answer.