Question

show what you know which one can be classified as a rational number? π √3 1.732... 2/3

Explanation:

Step1: Recall rational number definition

A rational number can be written as $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$.

Step2: Analyze $\pi$

$\pi = 3.1415926\cdots$ is an irrational number as it is non - repeating non - terminating.

Step3: Analyze $\sqrt{3}$

$\sqrt{3}=1.7320508\cdots$ is irrational as it is non - repeating non - terminating.

Step4: Analyze $1.732\cdots$

Since it is non - terminating and non - repeating (implied by the ellipsis), it is irrational.

Step5: Analyze $\frac{2}{3}$

It is in the form $\frac{p}{q}$ where $p = 2$, $q=3$ (both integers and $q
eq0$), so it is rational.

Answer:

$\frac{2}{3}$