Question

Which number produces irrational number when added to 0.5

Answer 1

square root of 3 and Pi

Answer 2

Answer with explanation:

The number in which we have to add a number to give irrational = 0.5

`0.5=(5)/(10)\\\\=(1)/(2)`

is a Rational Number as the decimal expansion terminates or denominator contains the number in the form of
`2^n \text{or} 5^m \text{or} 2^n * 5^m`.

→Sum of two Rationals Can't be a Irrational Number.

→Sum of Rational And Irrational is Irrational.

So, if you add any Irrational number like √2,π,∛2 to , 0.5 , it will give an Irrational Number.

⇒0.5 +Irrational Number=Irrational Number