Discussion

Which of the following is an irrational number?

Answer: C

An irrational number cannot be expressed as a simple fraction and its decimal representation is non-terminating and non-repeating.

A) \(\sqrt{16} = 4\), which is rational.

B) \(\sqrt{(144/9)} = \sqrt{16} = 4\), which is rational.

C) \(\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}\). Since \(\sqrt{3}\) is irrational, \(2\sqrt{3}\) is also irrational.

D) \(\sqrt{0.04} = \sqrt{4/100} = 2/10 = 0.2\), which is rational.

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