Answer:
Option B - [tex]\sqrt{5}[/tex] is an irrational number.
Step-by-step explanation:
Given : Numbers
To find : Which number is irrational?
Solution :
Rational numbers is defined as numbers which is written in [tex]\frac{p}{q}[/tex] form where p and q are integers and q is non-zero.
Irrational numbers is defined as numbers which is not written in [tex]\frac{p}{q}[/tex] form where p and q are integers and q is non-zero.
A) 0.3
[tex]0.3=\frac{3}{10}[/tex] written as p/q form.
So it is a rational number.
B) [tex]\sqrt{5}[/tex]
[tex]\sqrt{5}=2.2360679775...[/tex] is not written as p/q form.
So it is an irrational number.
C) 0.777
[tex]0.777=\frac{777}{1000}[/tex] written as p/q form.
So it is a rational number.
D) 0.454445
[tex]0.454445=\frac{454445}{1000000}[/tex] written as p/q form.
So it is a rational number.
Therefore, Option B [tex]\sqrt{5}[/tex] is an irrational number.
