Question

Can someone show me the steps to solving this
(Rationalizing Denominator)

Answer 1

`\huge \purple {\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }`

Explanation:

`\huge \frac{2 + \sqrt[3]{3} }{ \sqrt[3]{6} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } * \frac{ \sqrt[3]{6} * \sqrt[3]{6} }{\sqrt[3]{6} * \sqrt[3]{6}} \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } * \frac{ \sqrt[3]{6 ^(2) } }{\sqrt[3]{6^(2)} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )\sqrt[3]{6} }{ \sqrt[3]{6} * \sqrt[3]{6 ^(2) }} \\ \\ = \huge \frac{(2 \sqrt[3]{6} + \sqrt[3]{3} \sqrt[3]{6} )}{ \sqrt[3]{6 ^(3) }} \\ \\ = \huge \orange{\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }`