Question

between each pair of points. ab: $sqrt{(-2 - 1)^2+(-5 - (-5))^2}$

Explanation:

Step1: Simplify the expressions inside the square - root

First, simplify \((-2 - 1)\) and \((-5-(-5))\).
\(-2 - 1=-3\) and \(-5-(-5)=-5 + 5 = 0\). So the expression becomes \(\sqrt{(-3)^{2}+0^{2}}\).

Step2: Calculate the squares and the sum

Calculate \((-3)^{2}=9\) and \(0^{2}=0\). Then the sum inside the square - root is \(9 + 0=9\). So the expression is \(\sqrt{9}\).

Step3: Find the square - root

\(\sqrt{9}=3\).

Answer:

3