# Amongst the following which is greater: $\left(\dfrac{1}{2}\right)^{1/2}\; or \left(\dfrac{1}{3}\right)^{1/3}$

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Amongst the following which is greater:

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

1. $\left(\dfrac{1}{2}\right)^{1/2}$
2. $\left(\dfrac{1}{3}\right)^{1/3}$
3. Both are equal
4. None of the above

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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.