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Bunuel
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In general, square root of a number which is not a perfect square is non terminating and non repeating.
However, if we don't know this. By elimination, we can find out that D must be non terminating and non repeating, since others are repeating or terminating
Prakruti_Patil
did you calculate C to rule it out?
aashi1
Go by elimination

A. 1/3 -> 0.3333 : repeating & non-terminating
B. 1/4 -> 0.25 : terminating
C. 1/3.5 -> 2/7 -> 0.285714285714 : repeating
D. \(\sqrt{\frac{1}{3}}\)
E. \(\sqrt{\frac{1}{4}}\) -> ±1/2 -> ±0.5 : terminating

Hence, D
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