# Math Help - Determine which is greater...

1. ## Determine which is greater...

Determine which of ${\left(\frac{1}{2}e\right)}^{\sqrt{3}}$ and $\left(\sqrt{2}\right)^{\frac{1}{2}\pi}$ is greater.

2. ${\left(\frac{1}{2}e\right)}^{\sqrt{3}}$ = 1.70145654213

$\left(\sqrt{2}\right)^{\frac{1}{2}\pi}$ = 1.72356793413

3. sorry... I should have added "without a calculator"