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Find the distance between the points (2,0)(2,0) and (8,8)(8,8).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline______ units

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Q. Find the distance between the points (2,0)(2,0) and (8,8)(8,8).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline______ units
  1. Identify Coordinates and Formula: Identify the coordinates of the two points and the distance formula.\newlineThe coordinates are given as (2,0)(2,0) for the first point and (8,8)(8,8) for the second point. The distance formula is ((x2−x1)2+(y2−y1)2)\sqrt{((x_2-x_1)^2 + (y_2-y_1)^2)}.
  2. Substitute into Formula: Substitute the coordinates into the distance formula.\newlineUsing the points (2,0)(2,0) and (8,8)(8,8), we get (8−2)2+(8−0)2\sqrt{(8-2)^2 + (8-0)^2}.
  3. Calculate Differences: Calculate the differences (8−2)(8-2) and (8−0)(8-0).(8−2)(8-2) equals 66 and (8−0)(8-0) equals 88.
  4. Square the Differences: Square the differences.\newline(6)2(6)^2 equals 3636 and (8)2(8)^2 equals 6464.
  5. Add Squared Differences: Add the squared differences. 36+64=10036 + 64 = 100.
  6. Take Square Root: Take the square root of the sum to find the distance.\newlineThe square root of 100100 is 1010.

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