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Correct option is D)

(a)This is correct. Let the $10017 $, then the prime factorization of

$100=2_{2}∗5_{2}$, thus this fraction is terminating and non-repeating.

Thus, the prime factorization of denominator of a rational number which is not of the form $2_{n}∗5_{m}$ is non-terminating and repeating.

(b) let $2 $ be a rational number and so 5+\sqrt { 2 } .$$ Then,

$⟹5+2 =ba $

$⟹2 =ba −5$

Since,$2 $ is irrational number. So, the contradiction is wrong that $2 $ is rational number.

Hence $5+2 $ is irrational number.

(c) Every composite number can be expressed as a product of primes. This is also correct.

Hence option (d) is incorrect option.

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