Question

Which number produces an irrational number when added to 0.4

Answer 1

The answer is gonna be 0.3

Answer 2

0.31311311131111....

Explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

Rational number :- The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

Irrational number :- Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

Property :- Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

`\rm\implies Irrational\ Number = 0.31311311131111...`

So when we add this to 0.4 , the result will be Irrational . That is ,

`\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..`