Answer: (6\sqrt{5})
Step-by-step explanation:
To simplify the expression (\sqrt{125} - \sqrt{25} + \sqrt{5}), we’ll start by simplifying each square root separately:
1. (\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}).
2. (\sqrt{25} = 5).
Now, substitute the simplified square roots back into the original expression:
[5\sqrt{5} - 5 + \sqrt{5}]
Now, combine the terms with (\sqrt{5}):
[5\sqrt{5} + \sqrt{5} = 6\sqrt{5}]
So, the simplified expression is (6\sqrt{5}).