Calculate the lengths of the straight lines joining the following pairs of points, leaving your answers in surd form:

Question

(a) A(1,-5), B(6,10);

(b) A(4,-3), B(7,6).

Answer 1

Just use your formula
Dist = √(x2-x1)^2 + (y2-y1)^2 )
= √( 6-1)^2 + (10-(-5))^2 )
= √(25 + 225)
= √ 250) = √25 * √10
= 5√10

Do the 2nd one in the same way