A) \[\sqrt{2}\]
B) \[\sqrt[3]{3}\]
C) \[\sqrt[6]{6}\]
D) \[\sqrt[4]{5}\]
Correct Answer: D
Solution :
LCM of orders 2, 3, 4, 6 = 12 \[\therefore \] \[{{(2)}^{\frac{1}{2}}}={{2}^{\frac{6}{12}}}=\sqrt[12]{{{2}^{6}}}=\sqrt[12]{64}\] \[\sqrt[3]{3}=\sqrt[12]{{{3}^{4}}}=\sqrt[12]{81}\] \[\sqrt[4]{5}=\sqrt[12]{{{5}^{3}}}=\sqrt[12]{125}\] \[\sqrt[6]{6}=\sqrt[12]{{{6}^{2}}}=\sqrt[12]{36}\] The greatest number \[=\sqrt[4]{5}\]
You need to login to perform this action.
You will be redirected in
3 sec
