Respuesta :

[tex]\bf \cfrac{\stackrel{irrational}{\sqrt{2}}}{\stackrel{irrational}{\sqrt{2}}}\implies \stackrel{rational}{1}~\hspace{7em}\cfrac{\stackrel{irrational}{8\sqrt{17}}}{\stackrel{irrational}{2\sqrt{17}}}\implies \stackrel{rational}{4}[/tex]

This is quote is from Khan Academy:

”Yes, pi/(2pi) and 2e/e are rational, because they simplify to the rational numbers 1/2 and 2/1, respectively. Only the value of a number, and not the form in which it is written, determines whether or not the number is rational. These examples show that the quotient of two irrational numbers could be rational.”

So basically an irrational number divided by itself is a rational number; however, pi/e is not rational.