Question

Find the cube root of 2187/3000

Answer 1

$\red{The \: cube \:root \: of \: \frac{2187}{3000}}$

$= \sqrt[3] {\frac{\cancel {3 }\times 9 \times \times 9 \times 9 }{\cancel {3} \times 10 \times 10 \times 10 } }$

$=\sqrt[3]{ \frac{ 9^{3}}{10^{3}}}$

$= \sqrt[3]{\Big( \frac{9}{10}\Big)^{3}}$

$= \Big( \frac{9}{10}\Big)^{\frac{3}{3}}$

$= \frac{9}{10}$

$= 0.9$

Therefore.,

$\red{The \: cube \:root \: of \: \frac{2187}{3000}}\green { = 0.9 }$

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