Given that `sqrt(5)` is irrational, prove that `2sqrt(5)-3` is an irrational number.

Explanation

To prove that \(2\sqrt{5} - 3\) is an irrational number given that \(\sqrt{5}\) is irrational, we can use a proof by contradiction. Here’s a step-by-step solution:

### Step 1: Assume the contrary
Assume that \(2\sqrt{5} - 3\) is a rational number. Let's denote it by \(x\):
\[ x = 2\sqrt{5} - 3 \]

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