Question

Find the distance between the given points (2 √ 3 , -√ 13) and (6 √ 3 , √ 13)

Answer 1

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

`d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}`

substitute the given points in the formula

`d=\sqrt[]{(\sqrt[]{13}+\sqrt[]{13})^2+(6\sqrt[]{3}-2\sqrt[]{3})^2}`
`d=\sqrt[]{(2\sqrt[]{13})^2+(4\sqrt[]{3})^2}`
`\begin{gathered} d=\sqrt[]{52^{}+48^{}} \\ d=\sqrt[]{100} \\ d=10\text{ units} \end{gathered}`