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

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
Let the two points be $A(0, - 1)$ and $B(2,-5)$.
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Here $x_1 = 0,y_1=-1,x_2 = 2,y_2=-5$.
Substitute into the formula:
$$
\begin{align*}
d&=\sqrt{(2 - 0)^2+(-5+1)^2}\
&=\sqrt{2^2+(-4)^2}\
&=\sqrt{4 + 16}\
&=\sqrt{20}\
&=\sqrt{4\times5}\
&=2\sqrt{5}
\end{align*}
$$

# Answer:
$2\sqrt{5}$

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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: