To add \( \sqrt{510} + \sqrt{10} \), we can look for a way to simplify or add these square roots.
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First, we can factor \( \sqrt{510} \): \[ \sqrt{510} = \sqrt{51 \cdot 10} = \sqrt{51} \cdot \sqrt{10} \] However, \( \sqrt{51} \) does not simplify nicely because 51 is not a perfect square.
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So, we’ll keep \( \sqrt{510} \) as is and rewrite the expression: \[ \sqrt{510} + \sqrt{10} \]
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Since \( \sqrt{510} \) and \( \sqrt{10} \) cannot be combined further into a simple form, the final expression remains \( \sqrt{510} + \sqrt{10} \).
Now let's explore the options provided to see if any match this sum:
- \( \sqrt{25} = 5 \)
- \( \sqrt{610} = \sqrt{610} \) (not simplified)
- \( \sqrt{620} = \sqrt{620} \) (not simplified)
- \( \sqrt{60} = \sqrt{60} \) (not simplified)
None of the options represent \( \sqrt{510} + \sqrt{10} \) directly.
Since none of the provided answers match the expression \( \sqrt{510} + \sqrt{10} \), we can conclude that none of the options are correct as a direct representation of the sum, but if we evaluate the options one more time the best way would be to check if something can be inferred that may have been intended from the options.
In addition, \( \sqrt{510} \) can be approximated and perhaps represented but generally it's clear that the best answer indeed is the combination, as simplified values would not yield to a perfect score.
In this case, it appears there might be some misunderstanding or misinterpretation of the values you're trying to present.
To conclude, the correct answer you have should remain \( \sqrt{510} + \sqrt{10} \), and none of the provided options reflect that accurately.
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