Correct Answer - Option 1 :

\(\left(\dfrac{1}{2}\right)^{1/2}\)
**Calculation:**

As, given

\(\left(\dfrac{1}{2}\right)^{1/2}\; or \left(\dfrac{1}{3}\right)^{1/3}\)

As, 1/2 = 0.5

And, 1/3 = 0.333

Now, the power of 0.5 is greater than the power of 0.333, and also 0.5 > 0.333

\(\left(\dfrac{1}{2}\right)^{1/2}\ is \ greater \ than \left(\dfrac{1}{3}\right)^{1/3}\)

**∴ \(\left(\dfrac{1}{2}\right)^{1/2}\;\) is greater.**