| Which of the following is the smallest number? |
A) \[\sqrt[3]{4}\]
B) \[\sqrt[4]{6}\]
C) \[\sqrt[6]{15}\]
D) \[\sqrt[12]{245}\]
Correct Answer: B
Solution :
| \[\because \] 3, 4, 6 and 12 LCM = 12 |
| \[\therefore \] \[\sqrt[3]{4}=\sqrt[12]{{{4}^{4}}}=\sqrt[12]{256}\] |
| \[\sqrt[4]{6}=\sqrt[12]{{{6}^{3}}}=\sqrt[12]{216}\] |
| \[\sqrt[6]{15}=\sqrt[12]{{{15}^{2}}}=\sqrt[12]{225}\] |
| and \[\sqrt[12]{245}=\sqrt[12]{245}\] |
| Hence, smallest value is \[\sqrt[4]{6}.\] |
You need to login to perform this action.
You will be redirected in
3 sec
