Question

Which among the following options is irrational?

A. 3.1415926535… ( Non-repeating and non-terminating) B. 10.2 C. (0.2)2 D. 0.2​

Answer 1

Answer:

a is the answer

give me thanks if my answer is correct

Answer 2

$\underline { \blue { Rational \: number :}}$

$A\: number\:which \:can \:be \: written \: in \\the \:form \:of \: \frac{p}{q}, \: where \:p \:and \:q \\are \: integers \:and \:q \neq 0 \:is \: called \\a \: Rational \: number .$

$\underline { \pink { Representation \:of Rational \: number :}}$

All rational numbers can be converted into decimal numbers .There are 2 types of decimals.

• Terminating decimals
• Non - terminating decimals

$Here, (B) 10.2 \: ( Terminating \: decimal )$

$(C) \: (0.2)^{2} = 0.04 \: (Terminating \: decimal)$

$(D) \: 0.2 \: (Terminating \: decimal)$

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

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

$(A) \: 3.1415926535 \cdot\cdot\cdot \: \\( Non-repeating and non-terminating)\\</p><p>\blue { ( Irrational \: numbers ) }$

Therefore.,

$\green { (A) \:is \: an \: irrational\: number }$

$\pink { (B), (C) \:and \:(D) \:are \: rational}$

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