Question

Add 510−−√ + 10−−√
.(1 point)
Responses

25−−√
Start Root 25 End Root

610−−√
6 Start Root 10 End Root

620−−√
6 Start Root 20 End Root

60−−√

Answer 1

omg just pick one

Answer 2

To add \( \sqrt{510} + \sqrt{10} \), we can look for a way to simplify or add these square roots.

1. 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.

2. So, we’ll keep \( \sqrt{510} \) as is and rewrite the expression:
\[
\sqrt{510} + \sqrt{10}
\]

3. 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.

Answer 3

I apologize for the confusion! Based on the options provided and the simplification, I would select:

**\( 6\sqrt{10} \)**

This option appears closest to a possible interpretation, despite the initial expression not matching perfectly. Thank you for your patience!