The numbers given that are irrational are:
[tex]\frac{\pi}{4}[/tex] and [tex]\sqrt[3]{9}[/tex]
The set of irrational numbers is composed by number which are non-terminating decimals, meaning that they cannot be represented by fractions.
For example, non exact roots are irrational numbers, as they are represented by non-terminating decimals.
Hence, the numbers given that are irrational are:
[tex]\frac{\pi}{4}[/tex] and [tex]\sqrt[3]{9}[/tex]
This is because [tex]\pi[/tex] is a non-terminating decimal and [tex]\sqrt[3]{9}[/tex] is not exact. -2.3456 is terminating, while the square root of 16 is exact.
More can be learned about irrational numbers at https://brainly.com/question/2236338
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