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

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
Assume the two points are $(x_1,y_1)=(5, - 6)$ and $(x_2,y_2)=(8,-1)$
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 5,y_1=-6,x_2 = 8,y_2=-1$ into the formula:
$$
\begin{align*}
d&=\sqrt{(8 - 5)^2+(-1+6)^2}\
&=\sqrt{3^2 + 5^2}\
&=\sqrt{9+25}\
&=\sqrt{34}
\end{align*}
$$

# Answer:
$\sqrt{34}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates of the two points

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: