Question

"\frac{\sqrt[3]{60} }{\sqrt[3]{36} }" alt="\frac{\sqrt[3]{60} }{\sqrt[3]{36} }" align="absmiddle" class="latex-formula">
Please show your work.

Answer 1

Step-by-step explanation:

$\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} }$

$\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} }$

$\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{ {3}^{2} } }$

$\tt{} \frac{ \sqrt[3]{5} \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } }$

$\tt{} \frac{ \sqrt[3]{5 \times {3}^{2} } }{ \sqrt[3]{3 \times {3}^{2} } }$

$\tt{} \frac{ \sqrt[3]{5 \times 9} }{ \sqrt[3]{ {3}^{3} } }$

$\tt{} \frac{ \sqrt[3]{45} }{3}$

$\tt{}1.18563$