Find the distance between the given points (2 √ 3 , -√ 13) and (6 √ 3 , √ 13)
Remember that
The formula to calculate the distance between two points is equal to
[tex]d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}[/tex]substitute the given points in the formula
[tex]d=\sqrt[]{(\sqrt[]{13}+\sqrt[]{13})^2+(6\sqrt[]{3}-2\sqrt[]{3})^2}[/tex][tex]d=\sqrt[]{(2\sqrt[]{13})^2+(4\sqrt[]{3})^2}[/tex][tex]\begin{gathered} d=\sqrt[]{52^{}+48^{}} \\ d=\sqrt[]{100} \\ d=10\text{ units} \end{gathered}[/tex]