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Find the distance between the points (1,2)(1,2) and (7,10)(7,10).\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 (1,2)(1,2) and (7,10)(7,10).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
  1. Calculate x-coordinate difference: Let's calculate the difference in the x-coordinates: (x2−x1)=(7−1)(x_2 - x_1) = (7 - 1).
  2. Calculate y-coordinate difference: Now, let's calculate the difference in the y-coordinates: (y2−y1)=(10−2)(y_2 - y_1) = (10 - 2).
  3. Square both differences: Next, we square both differences: (x2−x1)2=62(x_2 - x_1)^2 = 6^2 and (y2−y1)2=82(y_2 - y_1)^2 = 8^2.
  4. Add squared differences: We then add the squares of the differences: 36+6436 + 64.
  5. Find the distance: Finally, we take the square root of the sum to find the distance: 100\sqrt{100}.

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