To determine which of the given options is an irrational number, let's evaluate each one.
A. \(0.333\) - This is a decimal representation of a rational number. It can be expressed as \(\frac{1}{3}\), so it is rational.
B. \(\sqrt{8}\) - The number \(8\) can be expressed as \(4 \times 2\), and \(\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}\). Since \(\sqrt{2}\) is an irrational number, \(2\sqrt{2}\) is also irrational.
C. \(\sqrt{49}\) - This equals \(7\), which is a whole number and therefore a rational number.
D. \(5/22\) - This is a fraction that represents a rational number.
From this evaluation, the only option that represents an irrational number is:
B. \(\sqrt{8}\).
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