amorphous wrote:

In the xy-coordinate system, the distance between points (2\sqrt{3}, - \sqrt{2}) and (5\sqrt{3}, 3\sqrt{2}) is approximately

A 4.1

B 5.9

C 6.4

D 7.7

E 8.1

The distance between two points in xy co-ordinates :

\sqrt{(x2 - x1)^2 + (y2 - y1)^2}So here the distance between two points =

\sqrt {(5\sqrt{3} - 2\sqrt{3})^2 + (3\sqrt{2} + \sqrt{3})^2} = \sqrt {(3\sqrt{3})^2 + (4\sqrt{2})^2} = \sqrt {27 + 32} = \sqrt{59} = 7.7*** Please note

\sqrt{59}= nearly equals to 7.7

since

\sqrt{64} = 8and

\sqrt{49} = 7so

\sqrt{59}should be between 7 and 8, so only option D satisfy

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