QuestionAugust 25, 2025

Which of the following is an irrational number?Enter your answer(s) separated by commas if needed. (17)/(6),6,sqrt (17),sqrt (15),7.154 Provide your answer below:

Which of the following is an irrational number?Enter your answer(s) separated by commas if needed. (17)/(6),6,sqrt (17),sqrt (15),7.154 Provide your answer below:
Which of the following is an irrational number?Enter your answer(s) separated by commas if needed.
(17)/(6),6,sqrt (17),sqrt (15),7.154
Provide your answer below:

Solution
4.1(160 votes)

Answer

\sqrt{17}, \sqrt{15} Explanation 1. Identify Rational Numbers A rational number can be expressed as a fraction of two integers. \frac{17}{6} and 6 are rational numbers. 2. Evaluate Square Roots \sqrt{17} and \sqrt{15} are not perfect squares, hence they are irrational numbers. 3. Analyze Decimal Number The decimal 7.154 is finite, thus it is a rational number.

Explanation

1. Identify Rational Numbers<br /> A rational number can be expressed as a fraction of two integers. $\frac{17}{6}$ and $6$ are rational numbers.<br /><br />2. Evaluate Square Roots<br /> $\sqrt{17}$ and $\sqrt{15}$ are not perfect squares, hence they are irrational numbers.<br /><br />3. Analyze Decimal Number<br /> The decimal $7.154$ is finite, thus it is a rational number.
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