To simplify \( 410\sqrt{2} \), we need to divide by \( \sqrt{2} \).
\[ \frac{410\sqrt{2}}{\sqrt{2}} \]
Since \( \sqrt{2} \) in the numerator and denominator cancel each other out, we have:
\[ = 410 \]
Thus, the exact answer is:
\[ \boxed{410} \]