Answer:
Option A,C and D are irrational numbers.
Step-by-step explanation:
To find : Which decimals are irrational numbers?
Solution :
Irrational number is defined as number which is not in the form of p/q where p and q are integers and q is non-zero.
Irrational number is non-repeating and non-terminating.
A) [tex]\pi[/tex]
The value is [tex]\pi=3.14159265359...[/tex]
It is an irrational number as it is non-terminating and non-repeating.
B) [tex]1\frac{1}{3}[/tex]
The value is [tex]1\frac{1}{3}=\frac{4}{3}=1.33333....[/tex]
It is not an irrational number as it is repeating.
C) [tex]\frac{8}{526}[/tex]
The value is [tex]\frac{8}{526}=0.0152091254753..[/tex]
It is an irrational number as it is non-terminating and non-repeating.
D) [tex]0.212212221.....[/tex]
It is an irrational number as it is non-terminating and non-repeating.
E) [tex]\frac{5}{9}[/tex]
The value is [tex]\frac{5}{9}=0.55555555555...[/tex]
It is not an irrational number as it is repeating.
Therefore, option A,C and D are irrational numbers.
