# Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set: 80

$\sqrt 58\approx7.616$ units

#### Work Step by Step

We know that the distance $d$ between two points $(x_{1},y_{1})$ and $x_{2},y_{2})$ is given by $d=\sqrt ((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})$. Therefore, the distance between $(3,-2)$ and $(-4,1)$ will be $d=\sqrt ((-4-3)^{2}+(1-(-2))^{2})=\sqrt ((-7)^{2}+(3)^{2})=\sqrt (49+9)=\sqrt 58\approx7.616$ units

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