If a is a real number is a greater than the square root

If the square root of a is b then
√a=b and
a=b²

if A is a real number, is A greater than the square root (of itself? I'm assuming?)

so
is a>b?

a²=b
when 0<a<1, a<b
when a=1, a=b
when a>1, a>b

so sometimes