Find the distance between the two points in simplest radical form (3,-6) and (-1,-8)

Question

asked Nov 12, 2022 123k views

2 Answers

Tzi · Answer 1 · 2022-11-14T02:47:56+0000

Answer:

2
√(5)

Explanation:

Calculate the distance d using the distance formula

d =
$\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }$

with (x₁, y₁ ) = (3, - 6) and (x₂, y₂ ) = (- 1, - 8)

d =
√((-1-3)^2+(-8+6)^2)

=
√((-4)^2+(-2)^2)

=
√(16+4)

=
√(20)

=
√(4(5))

=
√(4) ×
√(5)

= 2
√(5)