Question

Find the distance between the points (6, 5) and (4, 3). 2 2 2

Answer 1

`The\ distance\ between\ A(x_A;\ y_A)\ and\ B(x_B;\ y_B):\\\\d=√((x_B-x_A)^2+(y_B-y_A)^2)\\\\------------------------------\\\\A(6;\ 5);\ B(4;\ 3)\\\\subtitute\\\\d=√((4-6)^2+(3-5)^2)=√((-2)^2+(-2)^2)=√(4+4)\\\\=√(4\cdot2)=\sqrt4\cdot\sqrt2=\boxed{2\sqrt2}`