Answer
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Step 1I'll solve this step by step, explaining why the solutions to x^{2} = 17 are irrational.
Step 2: Identify the equation
The equation is $$x^{2} = 17$$, which means we need to find the values of $$x$$ that, when squared, equal 17.
Final Answer
The solutions \pm\sqrt{17} are irrational because \sqrt{17} cannot be expressed as a ratio of integers.
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