Question

Which of the following is equivalent to the distance between the points  (1,3)  and  (-2,4) ?

2√ 10

√ 6

√ 10

√ 109

Answer 1

The answer is C. √10

The way you solve this problem is using the distance formula which is as follows: 
$\sqrt{ (x_{2}-x_{1})^2 + (y_2-y_1)^2 }$

All you have to do to solve then is simply plug the numbers into the formula: 
$\sqrt{ (-2-1)^2 + (4-3)^2 }$

And the rest is just a matter of following PEMDAS: 
 $\sqrt{ (-3)^2 + (1)^2 } \sqrt{9+1} \sqrt{10}$