Question

Which of the following is always irrational?
the sum of two fractions
the product of a fraction and a repeating decimal
the sum of a terminating decimal and the square root of a perfect square
the product of a repeating decimal and the square root of a non-perfect square

Answer 1

Answer:

The last option

Step-by-step explanation:

Which of the following is always irrational?

the sum of two fractions

• No, it is a fraction and is rational

the product of a fraction and a repeating decimal

• No,  example 3/4*0.(3)=1/4 is rational

the sum of a terminating decimal and the square root of a perfect square

• No, it will be another fraction= is rational number

the product of a repeating decimal and the square root of a non-perfect square

• Yes, the square root of a non-perfect square is not rational