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Find the distance between the two points in simplest radical form.

(-9, 8) and (-3,-1)
Answer:

User Deplake
by
7.3k points

1 Answer

2 votes

Answer:

3
√(13)

Explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d =
√((-3-(-9))^2+(-1-8)^2)

=
√((-3+9)^2+(-9)^2)

=
√(6^2+81)

=
√(36+81)

=
√(117)

=
√(9(13))

=
√(9) ×
√(13)

= 3
√(13)

User Aleisha
by
7.8k points
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