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Q. \( \sqrt[3]{2} \times \sqrt[4]{2} \times \sqrt[12]{32} \)
✏️ Solution
\( = 2^{1/3} \times 2^{1/4} \times (2^5)^{1/12} \)
\( = 2^{1/3} \times 2^{1/4} \times 2^{5/12} \)
\( = 2^{\left(\frac{1}{3}+\frac{1}{4}+\frac{5}{12}\right)} \)
\( = 2^{\left(\frac{4+3+5}{12}\right)} \)
\( = 2^{1} \)
\( = 2 \)
\( \boxed{2} \)