Which of the following statements is true about the sum of a rational and an irrational number?
the sum of a rational and irrational number is never an irrational number.

the sum of a rational and irrational number is sometimes a rational number.

the sum of a rational and irrational number is always a rational number.

the sum of a rational and irrational number is always an irrational number.

The correct option is D

Step-by-step 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.

other answer is correct. i had used the radius of the radius somehow. a website:

11) obtuse

13)right

15) acute