Which of the following is true?
$$\eqalign{
& {\text{I}}.\frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\sqrt 5 }} \cr
& {\text{II}}.\frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\sqrt 5 }} \cr
& {\text{III}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} \cr
& {\text{IV}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} \cr} $$
A. Only I
B. Only II
C. Only III
D. Only IV
Answer: Option C
Related Questions on Surds and Indices
A. $$\frac{1}{2}$$
B. 1
C. 2
D. $$\frac{7}{2}$$
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A. 1.45
B. 1.88
C. 2.9
D. 3.7
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