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Find the distance between the points (2,2) and (6,0). Write your answer as a whole number or a fully simplified radical expression. Do not round.

User Dawid Pura
by
7.4k points

1 Answer

2 votes

Ok fine i wont round

To find the distance between two points, we can use the distance formula:

The distance formula between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the points are (2, 2) and (6, 0). Let's substitute the coordinates into the formula:

d = sqrt((6 - 2)^2 + (0 - 2)^2)

= sqrt(4^2 + (-2)^2)

= sqrt(16 + 4)

= sqrt(20)

The square root of 20 can be simplified as follows:

sqrt(20) = sqrt(4 * 5) = sqrt(4) * sqrt(5) = 2 * sqrt(5)

Therefore, the distance between the points (2, 2) and (6, 0) is 2 * sqrt(5).

User Tzortzik
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7.3k points