Find the distance between the points $A(-3,2)$ and $B(4,-1)$. Give your answer in simplest radical form.

Step-by-step solution

1. Use the distance formula $AB=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$.
2. Calculate $x_2-x_1=4-(-3)=7$ and $y_2-y_1=-1-2=-3$.
3. Square the differences: $7^2=49$, $(-3{)}^2=9$.
4. Add them: $49+9=58$.
5. Take the square root: $AB=\sqrt{58}$.
6. Hence the distance is $\sqrt{58}$ units.

Concept tested: Distance formula

Published 22 August 2026 · How this solution was prepared and checked

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