Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Product of two rational numbers is always rational.
Product of two irrational numbers may or may not be rational.
Product of a rational number and a irrational number is rational if the rational number is zero.
option A:
Both [tex]0.25[/tex] and [tex]0.45[/tex] are rational,So their product is also rational.
option B:
[tex]0.25[/tex] is irrational but [tex]-\sqrt{15}[/tex] is irrational,So their product is also irrational.
option C:
[tex]0.25[/tex] is irrational but [tex]\pi[/tex] is irrational,So their product is also irrational.
option D:
Both [tex]0.25[/tex] and [tex]0.53713218[/tex] are rational,So their product is also rational.