What is the distance between the points #(0, -2sqrt5)# and #(-sqrt6, 0)#?

Question
Answer 1

#sqrt26≈5.099#

To calculate the distance between the 2 points use the #color(blue)"distance formula"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(a/a)|)))# where # (x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points"#

The 2 points here are #(0,-2sqrt5)" and " (-sqrt6,0)#

let # (x_1,y_1)=(0,-2sqrt5)" and " (x_2,y_2)=(-sqrt6,0)#

#d=sqrt((-sqrt6-0)^2+(0+2sqrt5)^2)=sqrt(6+20)=sqrt26≈5.099#

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