Question 211269
*[Tex \LARGE \sqrt[4]{\sqrt{3}} \cdot \sqrt[3]{2}]



*[Tex \LARGE \sqrt[4]{3^{\frac{1}{2}}} \cdot \sqrt[3]{2}]



*[Tex \LARGE \sqrt[4]{3^{\frac{1}{2}} \cdot 2^{\frac{1}{3}}]



*[Tex \LARGE \left(3^{\frac{1}{2}\right)^{\frac{1}{4}} \cdot 2^{\frac{1}{3}}]



*[Tex \LARGE 3^{\frac{1}{2}\cdot\frac{1}{4}} \cdot 2^{\frac{1}{3}}]



*[Tex \LARGE 3^{\frac{1}{8}} \cdot 2^{\frac{1}{3}}]



*[Tex \LARGE 3^{\frac{3}{24}} \cdot 2^{\frac{1}{3}}]



*[Tex \LARGE 3^{\frac{3}{24}} \cdot 2^{\frac{8}{24}}]



*[Tex \LARGE \left(3^3 \cdot 2^8\right)^{\frac{1}{24}}]



*[Tex \LARGE \left(27 \cdot 256\right)^{\frac{1}{24}}]



*[Tex \LARGE 6912^{\frac{1}{24}}]



*[Tex \LARGE \sqrt[24]{6912}]



Ans: *[Tex \LARGE \sqrt[4]{\sqrt{3}} \cdot \sqrt[3]{2}=\sqrt[24]{6912}]