Question

evaluate. simplify your answer. -22 - \sqrt{5^2 + 22 \div 2}

Explanation:

Step1: Calculate inside the square root

First, we calculate the values inside the square root. We have \(5^2 = 25\) and \(22\div2 = 11\). Then we add these two results: \(25 + 11 = 36\). So now the expression inside the square root is \(36\), and the square root of \(36\) is \(6\) (since \(\sqrt{36}=6\)).

Step2: Perform the subtraction

Now we have the original expression as \(-22-\sqrt{36}\), and since \(\sqrt{36} = 6\), we substitute that in: \(-22 - 6\).

Step3: Calculate the final result

\(-22-6=-28\).

Answer:

\(-28\)