આપલે પૈકી $\root 3 \of 9 ,\root 4 \of {11} ,\root 6 \of {17} $ કઈ સંખ્યા મહતમ છે ?
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(a) \(\root 3 \of 9 ,\,\,\root 4 \of {11} ,\,\,\root 6 \of {17} \)
(a) \(\root 3 \of 9 ,\,\,\root 4 \of {11} ,\,\,\root 6 \of {17} \)
\(L.C.M.\) of \(3, 4, 6\) is \(12\)
\(\therefore \sqrt[3]{9} = {9^{1/3}} = {({9^4})^{1/12}} = {(6561)^{1/12}}\)
\(\root 4 \of {11} = {(11)^{1/4}}{({11^3})^{1/12}} = {(1331)^{1/12}}\),
\(\root 6 \of {17} = {(17)^{1/6}} = {({17^2})^{1/2}} = {(289)^{1/12}}\)
Hence, \(\root 3 \of 9 \) is the greatest number.
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