We need to solve the equation $(z+6)^2 = 5$ for $z$ using the square root property. The answer should be simplified and use radicals if needed. If there are multiple solutions, they should be separated by a comma.

1. Problem Description

We need to solve the equation $(z+6)^2 = 5$ for $z$ using the square root property. The answer should be simplified and use radicals if needed. If there are multiple solutions, they should be separated by a comma.

2. Solution Steps

The given equation is $(z+6)^2 = 5$.

Take the square root of both sides:

$\sqrt{(z+6)^2} = \pm \sqrt{5}$

$z+6 = \pm \sqrt{5}$

Subtract 6 from both sides:

$z = -6 \pm \sqrt{5}$

So the two solutions are $z = -6 + \sqrt{5}$ and $z = -6 - \sqrt{5}$.

3. Final Answer

$-6+\sqrt{5}, -6-\sqrt{5}$