QuestionAugust 25, 2025

16. List all sets of numbers (number systems) to which sqrt (15) belongs.

16. List all sets of numbers (number systems) to which sqrt (15) belongs.
16. List all sets of numbers (number systems) to which sqrt (15) belongs.

Solution
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Answer

Irrational numbers, Real numbers Explanation 1. Identify the nature of \sqrt{15} \sqrt{15} is not a perfect square, so it is an irrational number. 2. Determine applicable number systems Irrational numbers are part of the real numbers. Therefore, \sqrt{15} belongs to both the set of irrational numbers and the set of real numbers.

Explanation

1. Identify the nature of $\sqrt{15}$<br /> $\sqrt{15}$ is not a perfect square, so it is an irrational number.<br />2. Determine applicable number systems<br /> Irrational numbers are part of the real numbers. Therefore, $\sqrt{15}$ belongs to both the set of irrational numbers and the set of real numbers.
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