Question

Write all the primes less then $25$, to which numbers set the square roots of these prime numbers belongs to?

Answer 1

Prime numbers set =
$P=2,3,5,7,11,13,17,19,23$

Square root of these prime numbers,

$S=\sqrt{2},\sqrt{3},\sqrt{5},\sqrt{7},\sqrt{11},\sqrt{19},\sqrt{23}$

$\sqrt{2}=1.41,\sqrt{3}=1.732$
so these are irrational numbers as they cannot be expressed ins $\frac{p}{q}$ form.

So set of square roots of prime numbers is a subset of an irrational number set.