Question

please answer this question please​

Answer 1

Answer:

a very very good morning ❤

the correct answer is

CCCC

3.01001000100001.....

Step-by-step explanation:

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Answer 2

Answer:

option c .) 3.01001000100001... is irrational number

Step-by-step explanation:

option A.)

$0.05197 \: is \: rational \: because \: it \: can \: \\ be \: shown \: in \: \frac{p}{q} \: form$

$0.05197 = \frac{5197}{100000}$

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Option B.)

${( \frac{12}{75} )}^{ \frac{1}{2} }$

$= {( \frac{4 \times 3}{25 \times 3}) }^{ \frac{1}{2} }$

$= {( \frac{4}{25} )}^{ \frac{1}{2} }$

$= \frac{2}{5}$

$so \: option \: b \: \: is \: also \: rational \:$

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option c.)

$3.01001000100001000001......$

$3.010010001 \: cannot \: be \: expressed \: in \: \\ the \: form \: of \: \frac{p}{q}$

$so \: its \: a \: irrational \: number$

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option d.)

$0.3333......$

$let \: x \: = 0.3333.... \: \: \: \: \: \: \: \: \: \: \: \: \: ......eq(i)$

$10x = 3.33333.... \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...eq(ii)$

$eq(ii) - eq(i)$

$10x - x = 3.3333.... \: - 0.3333.....$

$9x = 3$

$x = \frac{3}{9}$

$x = \frac{1}{3}$

$so \: it \: is \: also \: a \: rational \: numner$