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

    $0.5=\frac{5}{10}\\\\=\frac{1}{2}$

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

→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