SOLUTION: What is the distance between the points (-2 square root of 7, 10) and (4 squareroot of 7, 8)?

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Question 145220: What is the distance between the points (-2 square root of 7, 10) and (4 squareroot of 7, 8)?
Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!

d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-2%2Asqrt%287%29-4%2Asqrt%287%29%29%5E2%2B%2810-8%29%5E2%29 Plug in x%5B1%5D=-2%2Asqrt%287%29, x%5B2%5D=4%2Asqrt%287%29, y%5B1%5D=10, and y%5B2%5D=8.


d=sqrt%28%28-6%2Asqrt%287%29%29%5E2%2B%282%29%5E2%29 Combine like terms


d=sqrt%2836%2A7%2B4%29 Square each term


d=sqrt%28252%2B4%29 Multiply


d=sqrt%28256%29 Add


d=16 Take the square root of 256 to get 16


So our answer is d=16


So the distance between the two points is 16 units.