Question

Which statement is always true?

A) The sum of two irrational numbers is rational.
B) The product of a rational and irrational number is rational.
C) The sum of two rational numbers is irrational.
D) The product of two rational numbers is rational.

Answer 1

the answer is D.

for A, it's possible for two irrational numbers to add to a rational number, but it's not always true.

for B, same situation, it could be, but it's not always true.

for C, adding two rational numbers will never result in an irrational number. so this one is wrong.

D is always true, and by process of elimination, it must be this one.

Answer 2

Statement D is True ,

The product of two rational numbers is rational.

By the process of elimination, we can say that the product of  two  rational numbers are always rational.

Why is the product of two rational number is rational ?

We know that on multiplying two rational numbers we will get the same when we multiply two such fractions that results another fraction of this similar form hence, integers are always closed under multiplication.

Therefore, The product of two rational numbers is rational.

Learn more about Rational numbers here : https://brainly.com/question/2563850