Question

1. a set of numbers is shown below. (left{\frac{7}{4}, 0.125, -3, sqrt{18}

ight}) what number would need to be removed from the set so that the set contains only rational numbers? ______

Explanation:

Step1: Define rational numbers

Rational numbers can be written as $\frac{p}{q}$, where $p,q$ are integers, $q
eq0$. They include fractions, terminating decimals, integers.

Step2: Classify each number

• $\frac{7}{4}$: Fraction, rational.
• $0.125$: Terminating decimal, $\frac{1}{8}$, rational.
• $-3$: Integer, $\frac{-3}{1}$, rational.
• $\sqrt{18}=3\sqrt{2}$: $\sqrt{2}$ is irrational, so $\sqrt{18}$ is irrational.

Answer:

$\sqrt{18}$