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Find Which of the Following Number Is Cube of Rational Number 0.04 . - Mathematics

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Question

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

Sum

Solution

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.

 
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Chapter 4: Cubes and Cube Roots - Exercise 4.2 [Page 13]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.2 | Q 5.4 | Page 13

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