Question

Match the column

Answer 1

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

$\frac{3}{4}$ is a rational number because it can be written as a fraction.

Similarly, $\frac{2+\sqrt{2}}{1}$ and $\sqrt[3]{36}$ are rational number.

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.

An irrational number has endless non-repeating digits to the right of the decimal point. For example:

$\sqrt{2}=\mathrm{1.414213.....}$

Hence, $\sqrt[3]{36}$ is not an irrational number and $2+\sqrt{2}$ is a rational number.