Find the Distance Between Two Points (3,-1) , (5,3)

Math
(3,-1) , (5,3)
Use the distance formula to determine the distance between the two points.
Distance=(x2-x1)2+(y2-y1)2
Substitute the actual values of the points into the distance formula.
(5-3)2+(3-(-1))2
Simplify.
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Subtract 3 from 5.
22+(3-(-1))2
Raise 2 to the power of 2.
4+(3-(-1))2
Multiply -1 by -1.
4+(3+1)2
Add 3 and 1.
4+42
Raise 4 to the power of 2.
4+16
Add 4 and 16.
20
Rewrite 20 as 22⋅5.
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Factor 4 out of 20.
4(5)
Rewrite 4 as 22.
22⋅5
22⋅5
Pull terms out from under the radical.
25
25
The result can be shown in multiple forms.
Exact Form:
25
Decimal Form:
4.47213595…
Find the Distance Between Two Points (3,-1) , (5,3)

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