Is 3+\sqrt{5} a complex number?

Step 1
Any number which can be expressed in the form of a+ib where a and b are real numbers and
$i=\sqrt{-1}$
is called a complex number.
$3+\sqrt{5}=(3+\sqrt{5})+i(0)$
$\therefore 3+\sqrt{5}$
is a complex number with real part
$3+\sqrt{5}$
and imaginary part 0.

Step 1
Complex number is a number of form a+ib where ‘a’ and ‘b’ are real numbers and
$$\begin{gathered} i=\sqrt{-1} \\ 3+\sqrt{5} \end{gathered}$$
can also be written as
$(3+\sqrt{5})+i(0)$
Hence it is also a complex number which is purely real.