FORM GR1268 Question 6

Question:
Which of the following shows the numbers \(2^{1/2}, 3^{1/3},\) and \(6^{1/6}\) in increasing order?

(A) \(2^{1/2}\lt3^{1/3}\lt6^{1/6}\)

(A) \(6^{1/6}\lt3^{1/3}\lt2^{1/2}\)

(A) \(6^{1/6}\lt2^{1/2}\lt3^{1/3}\)

(A) \(3^{1/3}\lt2^{1/2}\lt6^{1/6}\)

(A) \(3^{1/3}\lt6^{1/6}\lt2^{1/2}\)

Answer:
(C)

Answer Key:
\(2^{1/2}=2^{3/6}=8^{1/6}\)
\(3^{1/3}=3^{2/6}=9^{1/6}\)