Which expression simplifies to 87–√3

To determine which expression simplifies to \(87 - \sqrt{3}\), we will simplify each of the provided expressions one by one.

1. **Expression:** \( -67 - \sqrt{3} - 27 - \sqrt{3} \)
- Combine the constants: \(-67 - 27 = -94\)
- Combine the square roots: \(-\sqrt{3} - \sqrt{3} = -2\sqrt{3}\)
- Result: \(-94 - 2\sqrt{3}\) (Not equal to \(87 - \sqrt{3}\))

2. **Expression:** \( -6 \sqrt[3]{7} - 2 \sqrt[3]{7} \)
- Combine like terms: \(-6\sqrt[3]{7} - 2\sqrt[3]{7} = -8\sqrt[3]{7}\)
- Result: \(-8\sqrt[3]{7}\) (Not equal to \(87 - \sqrt{3}\))

3. **Expression:** \( 36 - \sqrt{3} + 51 - \sqrt{3} \)
- Combine the constants: \(36 + 51 = 87\)
- Combine the square roots: \(-\sqrt{3} - \sqrt{3} = -2\sqrt{3}\)
- Result: \(87 - 2\sqrt{3}\) (Not equal to \(87 - \sqrt{3}\))

4. **Expression:** \( \sqrt[3]{56} + 6 \sqrt[3]{7} \)
- This does not contain any square root terms and doesn't simplify to \(87 - \sqrt{3}\).
- Result: \(\sqrt[3]{56} + 6\sqrt[3]{7}\) (Not equal to \(87 - \sqrt{3}\))

5. **Expression:** \( 256 - \sqrt{3} - 47 - \sqrt{3} \)
- Combine the constants: \(256 - 47 = 209\)
- Combine the square roots: \(-\sqrt{3} - \sqrt{3} = -2\sqrt{3}\)
- Result: \(209 - 2\sqrt{3}\) (Not equal to \(87 - \sqrt{3}\))

None of the options provided simplifies to \(87 - \sqrt{3}\). Therefore, the answer is **none of the above**.