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Describe all the sets and subsets the number 64−−√ belongs to and enter the number corresponding to the correct answer as your...Question
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Describe all the sets and subsets the number 64−−√ belongs to and enter the number corresponding to the correct answer as your response.
Describe all the sets and subsets the number 64−−√ belongs to and enter the number corresponding to the correct answer as your response.
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GPT 3.5
The number 64−−√ belongs to several sets and subsets.
1. Real Numbers: This is the set of all numbers that can be represented on the number line. The number 64−−√ belongs to this set as it is a real number.
2. Rational Numbers: This set includes all numbers that can be expressed as a fraction of two integers. The number 64−−√ is not a rational number since it is an irrational number.
3. Irrational Numbers: This set includes all numbers that cannot be expressed as a fraction of two integers. The number 64−−√ belongs to this set as it is an irrational number.
4. Algebraic Numbers: This set includes all numbers that are solutions to algebraic equations with integer coefficients. The number 64−−√ is an algebraic number since it is the solution to the equation x^2 - 64 = 0.
5. Real Numbers (except zero): This is a subset of the real numbers that excludes zero. The number 64−−√ belongs to this subset.
6. Positive Real Numbers: This is a subset of the real numbers that includes only positive numbers. The number 64−−√ belongs to this subset.
7. Natural Numbers: This set includes all positive integers. The number 64−−√ is not a natural number since it is not an integer.
8. Whole Numbers: This set includes all non-negative integers. The number 64−−√ is not a whole number since it is not an integer.
9. Integers: This set includes all positive and negative whole numbers and zero. The number 64−−√ is not an integer since it is not a whole number.
Based on the given information, the number 64−−√ belongs to the following sets and subsets: Real Numbers, Irrational Numbers, Algebraic Numbers, Real Numbers (except zero), Positive Real Numbers.
The correct answer is 59910.
1. Real Numbers: This is the set of all numbers that can be represented on the number line. The number 64−−√ belongs to this set as it is a real number.
2. Rational Numbers: This set includes all numbers that can be expressed as a fraction of two integers. The number 64−−√ is not a rational number since it is an irrational number.
3. Irrational Numbers: This set includes all numbers that cannot be expressed as a fraction of two integers. The number 64−−√ belongs to this set as it is an irrational number.
4. Algebraic Numbers: This set includes all numbers that are solutions to algebraic equations with integer coefficients. The number 64−−√ is an algebraic number since it is the solution to the equation x^2 - 64 = 0.
5. Real Numbers (except zero): This is a subset of the real numbers that excludes zero. The number 64−−√ belongs to this subset.
6. Positive Real Numbers: This is a subset of the real numbers that includes only positive numbers. The number 64−−√ belongs to this subset.
7. Natural Numbers: This set includes all positive integers. The number 64−−√ is not a natural number since it is not an integer.
8. Whole Numbers: This set includes all non-negative integers. The number 64−−√ is not a whole number since it is not an integer.
9. Integers: This set includes all positive and negative whole numbers and zero. The number 64−−√ is not an integer since it is not a whole number.
Based on the given information, the number 64−−√ belongs to the following sets and subsets: Real Numbers, Irrational Numbers, Algebraic Numbers, Real Numbers (except zero), Positive Real Numbers.
The correct answer is 59910.
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