Find the distance d(P1,P2) between the points P1 and P2

Question

Find the distance

P1=(-0.3,03)

P2=(3.9,1.5)

​(Type an exact​ answer, using radicals as needed. Use integers or decimals for any numbers in the expression. Simplify under the​ radical.)

Answer 1

distance = square root of the sum of squares of the differences between the x and y values of the two points.

d² = (3.9+.3)² + (`1.5-.3)² but I can't tell if that last value is 0.3 or 03? You probably had the 0 to indicate 0.3

Most people write just 3 rather than 03 if they mean 3.

d² = 4.2² + 1.2² = 17.64 + 1.44 = 19.08

d = square root of 19.08 = (19.08)^1/2 4<d<5 4 squared is 16, 5 squared is 25. d is closer to 4 than 5, since 16 is closer to 19.08 than 25 is to 19.08

d is approximately 4.368065934.... which is about as "exact" as you can get with up to 10 decimal places.