Answer
5
Work Step by Step
$\sqrt{(7-a)^2+(2-b)^2}$
Substitute the given values for a and b.
$\sqrt{(7-4)^2+(2-(-2))^2}$
Following the order of operations, work expressions in parentheses first.
To subtract a negative number, add its opposite.
$\sqrt{(3)^2+(4)^2}$
Solve exponents.
=$\sqrt{9+16}$
Add.
=$\sqrt{25}$
Find the square root.
=$5$