Which of the following numbers are irrational??

-2.3456,[tex]\frac{\pi }{4}[/tex],[tex][tex]\sqrt[3]{9}[/tex]+[tex]\sqrt{16}[/tex]

CHOICES :

[tex]\frac{\pi }{4}[/tex] and [tex]\sqrt[3]{4}[/tex]

-4.8237 and 4 + [tex]\sqrt{25}[/tex]

-4.8237 and [tex]\frac{\pi }{2}[/tex]

[tex]\sqrt[3]{4}[/tex] and [tex]4 + \sqrt{25}[/tex]

Respuesta :

The numbers given that are irrational are:

[tex]\frac{\pi}{4}[/tex] and [tex]\sqrt[3]{9}[/tex]

What are irrational numbers?

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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