Question

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

Answer 1

Answer:

        3√10

Step-by-step explanation:

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