Answer:
1. Irrational 2. Rational
Step-by-step explanation:
[tex]\sqrt[3]{81}[/tex] = [tex]\sqrt[3]{3^4}[/tex]
= [tex]\sqrt[3]{3^3\cdot 3}[/tex] = [tex]\sqrt[3]{3^3}[/tex] [tex]\sqrt[3]{3}[/tex]
= 3 [tex]\sqrt[3]{3}[/tex] OR in decimal form which is 4.32674...
4.32674... is an irrational number because it cannot be expressed as a ratio of two integers such as in m/n form.
Examples of irrational : [tex]\pi[/tex], 4.32674... and so on
[tex]\sqrt[3]{-64}[/tex] = - [tex]\sqrt[3]{64}[/tex]
= - [tex]\sqrt[3]{4^3}[/tex] = -4
-4 is a rational number because it can be written as a fraction same thing that I said in number 1.
Examples of rational : -4 = -4/1 , 8/9 and so on
Hope this helps!
