SOLUTION: Find the distance: leave answer in simplest radical form (-1,7) and (8,4)

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Question 645944: Find the distance: leave answer in simplest radical form (-1,7) and (8,4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

exact solution:
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%288--1%29%5E2+%2B+%284-7%29%5E2%29=+9.48683298050514+


For more on this concept, refer to Distance formula.


the answer in simplest radical form:
d=sqrt%28%28x2-x1%29%5E2+%2B%28y2-y1%29%5E2%29
d=sqrt%28%288-%28-1%29%29%5E2+%2B%284-7%29%5E2%29
d=sqrt%28%288%2B1%29%5E2+%2B%28-3%29%5E2%29

d=sqrt%28%289%29%5E2+%2B%28-3%29%5E2%29
d=sqrt%2881+%2B9%29
d=sqrt%2890%29
d=sqrt%289%2A10%29
d=3%2Asqrt%2810%29