Find the Distance Between Two Points (2,0) , (-2,4)

Math
(2,0) , (-2,4)
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.
((-2)-2)2+(4-0)2
Simplify.
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Subtract 2 from -2.
(-4)2+(4-0)2
Raise -4 to the power of 2.
16+(4-0)2
Subtract 0 from 4.
16+42
Raise 4 to the power of 2.
16+16
Add 16 and 16.
32
Rewrite 32 as 42⋅2.
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Factor 16 out of 32.
16(2)
Rewrite 16 as 42.
42⋅2
42⋅2
Pull terms out from under the radical.
42
42
The result can be shown in multiple forms.
Exact Form:
42
Decimal Form:
5.65685424…
Find the Distance Between Two Points (2,0) , (-2,4)

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