Which of the following is a rational number? \( \sqrt{72} \) \( \sqrt{27} \) \( \sqrt{31} \) 30.666... Submits
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Beyond the Answer
Did you know that rational numbers can be expressed as a fraction of two integers? This means any number that can be put in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \), fits the definition! For example, \( 30.666...\) can be represented as \( \frac{92}{3} \), confirming its rationality. A common mistake when identifying rational numbers is assuming that only whole numbers qualify. However, this is a myth! Decimals like \( 30.666...\) are indeed rational. On the contrary, the square roots in the options above, like \( \sqrt{72} \) and \( \sqrt{31} \), yield irrational results when calculated, so they won't fit the rational mold!
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