Question

Find the distance between the two points insimplest radical form.y>1090076543 2o1-10-9-5-4-3-2-1345 6 70010-1-2-3-4o-5-6-7 -8 -9-10I

Answer 1

distance between 2 points

points

P1 = (-7, -8)

P2 = 0, -3)

`\begin{gathered} \sqrt[]{(0+7)^2+(-3+8)^2} \\ \sqrt[]{(7)^2+(5)^2} \\ \sqrt[]{49\text{ + 25}} \\ \sqrt[]{74} \end{gathered}`
`\sqrt[]{72}\text{ = }\sqrt[]{2^2(2)3^2}\text{ = 6}\sqrt[]{2}`