AP EAMCET2002MathematicsBasics of Mathematics
The least number among [3] 4 , [4] 5 , [4] 7 and [3] 8
Options
- A[3] 8
- B[4] 7
- C[3] 4
- D[4] 5
Correct answer
D. [4] 5
Step-by-step solution
We have, [3] 4 , [4] 5 , [4] 7 , [3] 8 gathered (4)^ 1 / 3 ,(5)^ 1 / 4 ,(7)^ 1 / 4 ,(8)^ 1 / 3 [(4)^ 1 / 3 ]¹², [(5)^ 1 / 4 ]¹², [(7)^ 1 / 4 ]¹², [(8)^ 1 / 3 ]¹² =(4)^4,(5)^3,(7)^3,(8)^4 gathered Clearly, (5)^3 i.e., [4] 5 is least.