Chapter 1.2, Problem 61SR

To determine

To evaluate expression

Answer to Problem 61SR

Solution is $\sqrt{{(a-b)}^2+{(c-d)}^2}$ = $\sqrt{185}$

Explanation of Solution

Given information:

  $a=-7,b=4,c=-3$ and $d=5$

  $\sqrt{{(a-b)}^2+{(c-d)}^2}$

Calculation:

Expression is $\sqrt{{(a-b)}^2+{(c-d)}^2}$

Substituting values,

  = $\sqrt{{(-7-4)}^2+{(-3-5)}^2}$

Solving,

  = $\sqrt{{(-11)}^2+{(-8)}^2}$

Now,

  = $\sqrt{121+64}$

Adding,

  = $\sqrt{185}$

Hence, solution is $\sqrt{185}$ .