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Simplify the following expression:

[tex] \frac{ \sqrt[3]{6} }{ \sqrt[3]{2} } = \sqrt{ \frac{6}{2} } [/tex]​


Sagot :

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

[tex]\bullet \: \: \rm{\dfrac{ \sqrt[3]{6} }{ \sqrt[3]{2} } = \sqrt{ \dfrac{6}{2} } }[/tex]

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

Simplify.

[tex]\underline{\underline{\large{\red{\mathcal{SOLUTION:}}}}}[/tex]

First, we need to remember the [tex]\tt{\purple{Division \: of \: Radicals}}[/tex]:

[tex]\large{\boxed{\bm{\red{ \dfrac{ \sqrt[n]{a} }{ \sqrt[n]{b} } }}}}[/tex]

[tex]\tt{ \dfrac{ \sqrt[3]{6} }{ \sqrt[3]{2} } = \sqrt[3]{ \dfrac{6}{3} } }[/tex]

[tex]\large{\tt{\purple{=\sqrt[3]{3} }}}[/tex]

Final Answer:

Hence, the given expression is equal to [tex]\large{\rm{\purple{\sqrt[3]{3} }}}[/tex].