Question

pr = \sqrt{(-7 + 2)^2 + (-1 + 5)^2} \quad xz =

Explanation:

Step1: Simplify inside the square root

First, calculate the values inside the parentheses: \((-7 + 2)= -5\) and \((-1 + 5)=4\). So the expression becomes \(\sqrt{(-5)^2 + 4^2}\).

Step2: Calculate the squares

Next, square the numbers: \((-5)^2 = 25\) and \(4^2 = 16\). Now the expression is \(\sqrt{25 + 16}\).

Step3: Add the numbers

Add the two results: \(25 + 16 = 41\). So we have \(\sqrt{41}\).

Answer:

\(\sqrt{41}\) (or approximately \(6.403\) if a decimal approximation is needed)