Question

Classify the following numbers as rational or irrational explain your reasoning

Answer 1

`\begin{gathered} \frac{\sqrt[]{16}}{2} \\ \text{This is a rational number} \end{gathered}`

This is because

`\begin{gathered} \sqrt[]{16\text{ }}=4 \\ so\text{ the question becomes} \\ =(4)/(2) \\ =\text{ 2} \end{gathered}`

The final answer 2 is a rational number hence the previous expression was rational since its final answer can be expressed as a whole number

Note that irrational numbers are numbers that cannot be expressed as whole numbers examples are

`\sqrt[]{3},\text{ }\sqrt[]{7,}\text{ }\frac{\sqrt[]{7}}{5},\text{ }\frac{5}{\sqrt[]{5}}`

These numbers when simplified we never give you whole number answers, hence they are irrational