Answered

IDNStudy.com, ang iyong gabay para sa mga sagot ng komunidad at eksperto. Ang aming komunidad ay handang magbigay ng malalim at praktikal na mga solusyon sa lahat ng iyong mga katanungan.

Simplify the following expression:

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

Sagot :

MrChrisidn

[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].