Answer:
The correct option is D
Explanation:
we have to choose the correct statement which is true about the sum of a rational and an irrational number.
An irrational number is a number as a decimal, but not as a fraction i.e in form of p by q. It has endless non-repeating digits to the right of the decimal point.
Rational numbers are the numbers written in form of p by q i.e in form of fraction.
The sum of a rational and irrational number always gives non-repeating and non-terminating let us take example
Rational+irrational=1.3+1.454954775....=2.754954775...
which is irrational.
Hence, the sum of a rational and irrational number is always an irrational number.
Option D is correct.