A) \[\sqrt{10}\]
B) 1
C) \[\sqrt[12]{432}\]
D) \[\sqrt{201}\]
Correct Answer: C
Solution :
(c) \[{{2}^{\frac{1}{3}}}\times {{3}^{\frac{1}{4}}}={{2}^{\frac{1}{3}\times \frac{1}{4}\times 4}}\times {{3}^{\frac{1}{4}\times \frac{1}{3}\times 3}}\] \[={{\left( {{2}^{4}} \right)}^{\frac{1}{12}}}\times {{\left( {{3}^{3}} \right)}^{\frac{1}{12}}}\] \[={{\left[ {{2}^{4}}\times {{3}^{3}} \right]}^{\frac{1}{12}}}={{(432)}^{\frac{1}{12}}}\]
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