1. The problem is to understand and simplify the expression $$\sqrt[4]{(5-a)^2}$$ given that $$a > 5$$. 2. The expression is a fourth root of a square: $$\sqrt[4]{(5-a)^2}$$. 3. Recall that $$\sqrt[4]{x^2} = |x|^{\frac{2}{4}} = |x|^{\frac{1}{2}} = \sqrt{|x|}$$. 4. So, $$\sqrt[4]{(5-a)^2} = \sqrt{|5-a|}$$. 5. Since $$a > 5$$, then $$5 - a < 0$$, so $$|5-a| = a-5$$. 6. Therefore, $$\sqrt[4]{(5-a)^2} = \sqrt{a-5}$$. 7. The simplified form is $$\sqrt{a-5}$$, which is defined for $$a > 5$$. 8. This means the original expression represents the square root of $$a-5$$ when $$a$$ is greater than 5.