A) \[\sqrt[6]{4},\sqrt[6]{3},\sqrt[3]{2}\]
B) \[\sqrt[9]{4},\sqrt[3]{2},\sqrt[6]{3}\]
C) \[\sqrt[3]{2},\sqrt[6]{3},\sqrt[9]{4}\]
D) \[\sqrt[6]{3},\sqrt[9]{4},\sqrt[3]{2}\]
Correct Answer: C
Solution :
L.C.M. of 3, 6, 9 is 18. \[\sqrt[3]{2}={{(2)}^{1/3}}={{(2)}^{6/18}}=-{{(64)}^{\frac{1}{18}}}\] \[\sqrt[3]{6}={{(3)}^{1/6}}={{(3)}^{3/18}}={{(27)}^{\frac{1}{18}}}\] Descending order is, \[\sqrt[3]{2}>\sqrt[6]{3}>\sqrt[9]{4}\]
You need to login to perform this action.
You will be redirected in
3 sec
