It belongs to many many subsets including:
{sqrt(13)},
The set of square roots of integers
The set of square roots of primes
The set of square roots of numbers between 12 and 27
{3, -9, sqrt(13)}
The set of Irrational Numbers
The set of real numbers
Chat with our AI personalities
The square root of 169 = ± 13
13, is not the square root of 156, but the best i can give you is that 13 is the square root of 169 and 14 is the square root of 196.
169. 13 x 13 = 169. square root of 169 = 13.
Well, darling, the subset of real numbers for the square root of 169 is simply {13, -13}. It's not rocket science, honey. Just two numbers that, when squared, give you 169. Keep it simple, sweetheart.
If the square root of a number is irrational, it is its own conjugate. sqrt(13)*sqrt(13) = 13 and you no longer have an irrational!