Step: Writing the given set in roster form.
Let us find squares of some single digit numbers which are :
\(0^{2}=0\)
\(1^{2}=1\)
\(2^{2}=4\)
\(3^{2}=9\)
\(4^{2}=16\)
\(5^{2}=25\)
We can see that square of \(4\) and above numbers give two-digit numbers.
Hence, the roaster form of given set is \(\left \{ 0,1,4,9 \right \}\).