1. **State the problem:** Simplify the expression $\sqrt{5(\sqrt{5}(\sqrt{5}))}$. 2. **Rewrite the expression:** The expression inside the square root is $5 \times (\sqrt{5} \times \sqrt{5})$. 3. **Simplify inside the parentheses:** Recall that $\sqrt{a} \times \sqrt{a} = a$, so $\sqrt{5} \times \sqrt{5} = 5$. 4. **Substitute back:** Now the expression inside the square root becomes $5 \times 5 = 25$. 5. **Evaluate the square root:** $\sqrt{25} = 5$. 6. **Final answer:** The simplified value of $\sqrt{5(\sqrt{5}(\sqrt{5}))}$ is $5$.