Question

which of the following is an example of an irrational number? 0 3/4 -3 √2

Explanation:

Step1: Recall definition of rational and irrational numbers

A rational number can be written as $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$. An irrational number cannot be written in this form.

Step2: Analyze each option

• $0=\frac{0}{1}$, so it is rational.
• $\frac{3}{4}$ is in $\frac{p}{q}$ form, so it is rational.
• $- 3=\frac{-3}{1}$, so it is rational.
• $\sqrt{2}$ cannot be written as $\frac{p}{q}$ for integers $p,q$ with $q

eq0$, so it is irrational.

Answer:

$\sqrt{2}$