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Question
Find which of the following number is cube of rational number \[\frac{27}{64}\] .
Solution
We have:
\[\frac{27}{64} = \frac{3 \times 3 \times 3}{8 \times 8 \times 8} = \frac{3^3}{8^3} = \left( \frac{3}{8} \right)^3\]
Therefore,
\[\frac{27}{64}\] is a cube of \[\frac{3}{8}\] .
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