Question

Rational numbers cannot _____.
A. Go on forever and ever
B. Be negative
C. Be square roots of non - perfect squares
D. Repeat digits in the decimal

Answer 1

Rational numbers cannot **C. Be square roots of non-perfect squares**.

Rational numbers are numbers that can be expressed as the fraction of two integers (where the denominator is not zero). The square root of a non-perfect square (like √2 or √3) is an irrational number, which means it cannot be expressed as a fraction of two integers.

The other options can either be true or false for rational numbers:
- A. Rational numbers can be represented as decimals that terminate or repeat infinitely, but they don't go on forever without repeating.
- B. Rational numbers can indeed be negative (e.g., -1/2).
- D. Rational numbers can repeat digits in their decimal representation (e.g., 1/3 = 0.333...).

Thus, the correct choice is C.