Which subset of real numbers does the following number belong: 65−−√
The number 65−−√ is equal to the positive square root of 65. Since the square root of any positive number is always positive, 65−−√ belongs to the subset of positive real numbers.
To determine the subset of real numbers that the number \(\sqrt{65}\) belongs to, we need to consider whether it is a real number or not.
The square root of a positive number is always a real number. Since 65 is a positive number, \(\sqrt{65}\) is a real number.
Thus, \(\sqrt{65}\) belongs to the subset of real numbers.