Respuesta :

Answer:

Option D

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.

=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].

Answer:

[tex]\boxed{\sqrt[3]{16}}[/tex]

Step-by-step explanation:

Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

[tex]-2.2675=\frac{-907}{400}[/tex]

[tex]\sqrt[3]{16} = 2.51984209979...[/tex]