Identifying Irrational Solutions from a Quadratic Equation

Very Hard Number Operations Irrational Numbers

Consider the equation:

x^2 - 2x - 3 = 0

Which of the following expressions represents an irrational number derived from the solutions of this equation? A solution is considered irrational if it cannot be expressed as a fraction of two integers.

$$1 + \sqrt{4}$$

$$2 + \sqrt{5}$$

$$1 - \sqrt{5}$$

$$3 + \sqrt{0}$$

Hint

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