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Nin Voc cin pual Delit x M inb: x Mut 9sy Voc ar x Question Watch Video Show Examples Find the distance between the two points in simplest radical form.

Nin\newlineVoc\newlinecin\newlinepual\newlineDelit x x \newlineM inb:\newlinex\newlineMut\newline9sy 9 \mathrm{sy} \newlineVoc\newlinear\newlinex x \newlineQuestion\newlineWatch Video\newlineShow Examples\newlineFind the distance between the two points in simplest radical form.

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Multiply and divide complex numbersright chevron icon

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Q. Nin\newlineVoc\newlinecin\newlinepual\newlineDelit x x \newlineM inb:\newlinex\newlineMut\newline9sy 9 \mathrm{sy} \newlineVoc\newlinear\newlinex x \newlineQuestion\newlineWatch Video\newlineShow Examples\newlineFind the distance between the two points in simplest radical form.
  1. Identify Points: Let's say the two points are (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2). We use the distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.
  2. Apply Distance Formula: Plug in the coordinates. Let's assume the points are (3,4)(3, 4) and (7,1)(7, 1). So, d=(7−3)2+(1−4)2d = \sqrt{(7 - 3)^2 + (1 - 4)^2}.
  3. Substitute Coordinates: Calculate the differences: d=(4)2+(−3)2d = \sqrt{(4)^2 + (-3)^2}.
  4. Calculate Differences: Square the differences: d=16+9d = \sqrt{16 + 9}.
  5. Square Differences: Add the squares: d=25.d = \sqrt{25}.
  6. Add Squares: Take the square root: d=5d = \sqrt{5}.

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