To which subset of real numbers does the following number belong?
10−−√
3 answers
The number 10−−√ belongs to the subset of real numbers as it is a result of a square root operation.
To which subset of real numbers does the following number belong?
10−−√
1. rational numbers
2. irrational numbers
3. whole numbers, integers, rational numbers
10−−√
1. rational numbers
2. irrational numbers
3. whole numbers, integers, rational numbers
To determine the subset of real numbers to which 10−−√ belongs, we need to consider whether it is a rational or irrational number.
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. An irrational number cannot be expressed as a fraction and its decimal representation goes on indefinitely without repeating.
In this case, since the square root of 10 is not a perfect square, 10−−√ is an irrational number. Therefore, the subset of real numbers to which it belongs is "2. irrational numbers."
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. An irrational number cannot be expressed as a fraction and its decimal representation goes on indefinitely without repeating.
In this case, since the square root of 10 is not a perfect square, 10−−√ is an irrational number. Therefore, the subset of real numbers to which it belongs is "2. irrational numbers."