What is the distance between the points $(2,3)$ and $(5,7)$?

Step-by-step solution

1. Identify the differences in coordinates: $Deltax=5-2=3$ and $Deltay=7-3=4$.
2. Apply the distance formula: $d=\sqrt{(Deltax{)}^2+(Deltay{)}^2}$.
3. Compute the squares: $3^2=9$ and $4^2=16$, sum gives $25$.
4. Take the square root: $\sqrt{25}=5$.
5. Thus the distance is $5$.

Concept tested: distance formula

Published 10 October 2026 · How this solution was prepared and checked