Question

Which statement is not always true? 1 The difference of two rational numbers is rational 2 The sum of a rational number and an irrational number is irration 3 The quotient of two irrational numbers is irrational. 4 The product of two rational numbers is rational

Answer 1

Answer: 3 The quotient of two irrational numbers is irrational.

Step-by-step explanation

A counter-example would be

`√(20) \ / \ √(5) = √(20/5) = √(4) = 2`

The
`√(20)` and
`√(5)` are both irrational, but the quotient 2 is rational.

The term "rational" means we can write it as a fraction or ratio of two integers. The denominator cannot be zero.

2 is rational since 2 = 2/1.