15
QuizMultiple Choice

Expressions and Equations — Test

Question 15 • Algebra II

Which of the following is always irrational?

Answer
A
the sum of two fractions
B
the product of a repeating decimal and the square root of a non-perfect square
C
the product of a fraction and a repeating decimal
D
the sum of a terminating decimal and the square root of a perfect square

Explanation

A repeating decimal is rational, and the square root of a non-perfect square is irrational. Multiplying an irrational number by a nonzero rational number gives an irrational number, so the product in choice B is irrational. The other choices combine rational numbers, which always produce a rational result.

AI-written and checked against the verified answer.

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