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Find the distance between the points (6, 5 square root 2) and (4, 3square root 2).

User Mendhak
by
7.1k points

2 Answers

4 votes

The distance would be 2√3 , in other words it is 2 square root 3

User Foosh
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7.2k points
4 votes

For this case we use the distance formula between two points.

We have then:


d=√((x2-x1)^2+(y2-y1)^2)

Substituting values in the given equation we have:


d=\sqrt{(6-4)^2+(5√(2)-3√(2))^2}

Rewriting the equation we have:


d=\sqrt{(2)^2+(2√(2))^2}


d=√(4+8)


d=√(12)


d=√(3*4)


d=2√(3)

Answer:

The distance between the points is:


d=2√(3)

User Sanoj Dushmantha
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7.4k points