To solve the expression \( 28 - \sqrt{28} + 28 + \sqrt{28} \), let's first combine like terms.
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Combine constants: \[ 28 + 28 = 56 \]
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Combine square root terms: \[ -\sqrt{28} + \sqrt{28} = 0 \]
Putting these together, we get: \[ 56 + 0 = 56 \]
Next, let's analyze the provided options. None of them seem to directly match the result of \( 56 \), which is a straightforward sum. However, if we take a closer look at the choices and their simplifications, we can evaluate them to find which one may correspond to the final result of the addition.
- First Option: \( \sqrt{58} \)
- Second Option: \( 4\sqrt{8} + \sqrt{28} \)
- Third Option: \( 4\sqrt{16} + \sqrt{28} \)
- Fourth Option: \( 4\sqrt{8} + \sqrt{28} \)
- Fifth Option: \( 544 - \sqrt{28} \)
After evaluating the options, it seems none directly matches our computed \( 56 \). None appear to yield useful simplifications to arrive directly at \( 56 \). However, if \( \sqrt{28} \) can be simplified, it is equal to \( 2\sqrt{7} \), but the overall sum still leads to the conclusion of \( 56 \).
Thus, based on the calculations and evaluations, the answer remains as simply \( 56 \). If the problem intended to provide options more directly relatable to this, it currently doesn't fit any of the choices listed.
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