What's the distance between (-4\sqrt { 2} ,6)(−4√2,6) and ( 2\sqrt { 2} ,3)(2√2,3)?

1 Answer
smendyka
Jul 22, 2017

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(2sqrt(2)) - color(blue)(-4sqrt(2)))^2 + (color(red)(3) - color(blue)(6))^2)d=√(2√2−−4√2)2+(3−6)2

d = sqrt((color(red)(2sqrt(2)) + color(blue)(4sqrt(2)))^2 + (color(red)(3) - color(blue)(6))^2)d=√(2√2+4√2)2+(3−6)2

d = sqrt((6sqrt(2))^2 + (-3)^2)d=√(6√2)2+(−3)2

d = sqrt((36 * 2) + 9)d=√(36⋅2)+9

d = sqrt(72 + 9)d=√72+9

d = sqrt(81)d=√81

d = 9d=9

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