Question

Find the distance between the two points in simplest radical form.
(1,0) and (-8,3)

Answer 1

3√10

Explanation:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\(1,0)\quad\implies\quad x_1=1\,,\ \ y_1=0\\\\(-8,3)\quad\implies\quad x_2=-8\,,\ \ y_2=3\\\\d=√((-8-1)^2+(3-0)^2)= √((-9)^2+3^2)=√(81+9)\\\\d=√(90)=√(9\cdot10)=\sqrt9\cdot√(10)=3√(10)\approx9.49`