Question
Which statement is true about the integer fraction that equals the square root of 2?
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GPT-4o mini
The statement that is true about the integer fraction that equals the square root of 2 is that there is no such integer fraction. The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction of two integers (i.e., in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \)). This was proven by mathematicians such as Hippasus of Metapontum and later formalized through various methods in mathematics.
In simpler terms, while you can approximate the square root of 2 with fractions (like \( \frac{14}{10} \) or \( \frac{1414}{1000} \)), it cannot be exactly expressed as a fraction of two integers.
In simpler terms, while you can approximate the square root of 2 with fractions (like \( \frac{14}{10} \) or \( \frac{1414}{1000} \)), it cannot be exactly expressed as a fraction of two integers.
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