2015 · Q18
Which one of the following is correct ?
Elementary MathematicsTime and Work
- A{2}
- B{2} > [4]{6} > [3]{4}
- C[4]{6}
- D[4]{6}
Explanation
Raising to the 12th power: (sqrt(2))^12 = 64, (6^(1/4))^12 = 216, (4^(1/3))^12 = 256. Since 64 < 216 < 256, sqrt(2) < 6^(1/4) < 4^(1/3). Hence option (a).