You can certainly make all rational and all irrational roots. I am not sure if you can make transcendental numbers, such as e or pi. I think not.
For example, to make ANY integer, X, you can always find another pair of integers p and q such that 5p + 7q = X.
If you can make one integer, you can make two of them. Divide one by the other and you have all rational numbers.
Make a third integer and you can make an irrational root of a rational number, etc.
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Other than 2, no prime numbers are even. So prime numbers can't end in even numbers. After 5, no prime number can end in 5. After 5, all prime numbers end in 1, 3, 7 or 9.
They are: 3*5*7 = 105
3 and 5 are co-prime. So every integer can be expressed as a linear combination of 3 and 5. For example, 17 = (-1)*3 + 4*5 Since any integer can, any rational number can. That leave irrationals, which cannot.
all you have to do is find 2 factors that equals 25 which is 5 and 5 and then your done basically because 5 are prime numbers, they have no fators. there are other numbers you can use to but 5 and 5 is one way.
about... 25 just take 5 numbers times 5 numbers