Question

which is the following is a rational number a. √2 b. √23 c.√225 c. 0.1010010001​

Answer 1

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

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

$*All \: rational \: numbers \: can \: be \\ converted \: into \\ i ) Terminating \: decimal \:or \\ii) Non - terminating \: repeating \: decimal$

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

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

$a. \sqrt{2} \: \pink {( Irrational\: number)}$

$b. \sqrt{23} \: \pink {( Irrational \: number)}$

$c. \sqrt{225} \\= \sqrt{15^{2}}\\= 15 \: \green {( Rational \: number)}$

$c. 0.10100010001 \:\blue { (Terminating \:decimal )} \\\green {( Rational \: number)}$

Therefore.,

$Options \green { (c) \: and \: (d) } \:are \\rational \: numbers .$

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Answer 2

Answer:

0.1010010001

Step-by-step explanation:

0.1010010001 this is the correct anser