Question

Which number is irrational? A. 0.3 B. [5 C. 0.777 D. 00.454445

Answer 1

C.0.777 decuase it is smart

Answer 2

Option B -
`√(5)` is an irrational number.

Explanation:

Given : Numbers

To find : Which number is irrational?

Solution :

Rational numbers is defined as numbers which is written in
`(p)/(q)` form where p and q are integers and q is non-zero.

Irrational numbers is defined as numbers which is not written in
`(p)/(q)` form where p and q are integers and q is non-zero.

A) 0.3

`0.3=(3)/(10)` written as p/q form.

So it is a rational number.

B)
`√(5)`

`√(5)=2.2360679775...` is not written as p/q form.

So it is an irrational number.

C) 0.777

`0.777=(777)/(1000)` written as p/q form.

So it is a rational number.

D) 0.454445

`0.454445=(454445)/(1000000)` written as p/q form.

So it is a rational number.

Therefore, Option B
`√(5)` is an irrational number.