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x2 + 8x + 5 = 0 is an expression, not a value, and thus does not actually have a square root. If you are looking to solve for x, then you can say:

x2 + 8x + 5 = 0

∴ x2 + 8x + 16 = 11

∴ (x + 4)2 = 11

∴ x + 4 = ±√11

∴ x = 4 ±√11

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