To add \( \sqrt{321} + \sqrt{721} \), you can simplify each square root:
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Simplify \( \sqrt{321} \):
- \( 321 = 3 \times 107 \)
- Since neither 3 nor 107 is a perfect square, \( \sqrt{321} \) cannot be simplified further.
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Simplify \( \sqrt{721} \):
- \( 721 = 7 \times 103 \)
- Similar to 321, neither 7 nor 103 is a perfect square, so \( \sqrt{721} \) also cannot be simplified further.
As both square roots are irrational numbers, the sum cannot be combined under a single square root. Thus, their sum is simply:
\[ \sqrt{321} + \sqrt{721} \]
For the additional expression given, \( \sqrt{24} + \sqrt{28} \):
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Simplify \( \sqrt{24} \):
- \( \sqrt{24} = \sqrt{4 \times 6} = 2\sqrt{6} \)
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Simplify \( \sqrt{28} \):
- \( \sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7} \)
Therefore:
\[ \sqrt{24} + \sqrt{28} = 2\sqrt{6} + 2\sqrt{7} = 2(\sqrt{6} + \sqrt{7}) \]
Putting it altogether, none of the expressions simplifies neatly into a simple numerical form for \( \sqrt{321} + \sqrt{721} \), and \( \sqrt{24} + \sqrt{28} \) simplifies to \( 2(\sqrt{6} + \sqrt{7}) \).
Among the options provided, none appear to represent the expressions correctly, but if they ask for an addition of numbers only, the simplified form for what can be calculated is:
- \( \sqrt{24} + \sqrt{28} = 2(\sqrt{6} + \sqrt{7}) \)
Please select the correct format according to your assessment criteria.