Question

Classify the following numbers as rational or irrational:
(i) $\sqrt{23}$ (4.79583152331....)
(ii) $\sqrt{225}$
(iii) 0.3796
[3 marks]

Answer 1

(i) $\sqrt{23}$ = 4.79583152331...
The number is non-terminating non-recurring. Therefore, it is an irrational number.
[1 mark]

(ii) $\sqrt{225}=15=\frac{15}{1}$
The number can be represented in $\frac{p}{q}$ form.
Therefore, it is a rational number.
[1 mark]

(iii) 0.3796 is a terminating number.
Therefore, it is a rational number.
[1 mark]