Question

Find which of the following number is  cube of rational number 0.04 .

Answer 1

We have:  \[0 . 04 = \frac{4}{100} = \frac{2 \times 2}{2 \times 2 \times 5 \times 5}\]

It is evident that 4 and 100 could not be grouped in to triples of equal factors; therefore, 0.04 is not a cube of a rational number.