Find the distance between the points $P(2,3)$ and $Q(-1,7)$ in simplest radical form.

Step-by-step solution

1. Compute the difference in x–coordinates: $2-(-1)=3$.
2. Compute the difference in y–coordinates: $3-7=-4$.
3. Square these differences: $3^2=9$ and $(-4{)}^2=16$.
4. Add the squares: $9+16=25$.
5. Take the square root: $\sqrt{25}=5$.
6. Thus the distance is $5$.
7. This is in simplest radical form.

Concept tested: Distance formula

Published 4 October 2026 · How this solution was prepared and checked