simplify the expression without a calculator.\nin (e√2) =

Explanation:

Step1: Use logarithm property

The property of logarithms states that $\ln(e^{x})=x$.

Step2: Apply the property

For the expression $\ln(e^{\sqrt{2}})$, here $x = \sqrt{2}$. So, $\ln(e^{\sqrt{2}})=\sqrt{2}$.

Answer:

$\sqrt{2}$