Question

$\sqrt[3]{ \frac{1728}{1331} } \times \sqrt[3]{ \frac{512}{5832} }$
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Answer 1

Answer:

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Answer 2

Solution :-

$\rightarrow\sf\sqrt[3]{\frac{1728}{1331} } \times \sqrt[3]{ \frac{512}{5832} } \\ \\ \rightarrow\sf \: ( \frac{1728}{1331})^{ \frac{1}{3} } \times ( \frac{512}{5832})^{ \frac{1}{3} } \\ \\ \rightarrow\sf \: (\frac{12^{3}}{11^{3}})^{ \frac{1}{3} } \times (\frac{8^{3}}{18^{3}})^{ \frac{1}{3} } \\ \\ \rightarrow\sf \: ( \frac{12}{11})^{3 \times \frac{1}{3} } \times ( \frac{8}{18})^{3 \times \frac{1}{3} } \\ \\ \rightarrow\sf \: \frac{12}{11} \times \frac{8}{18} \\ \\ \rightarrow\sf \: \boxed{\frac{16}{33}}$

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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