Verified Answer :

\(\sqrt{52}\)

Break  the number  to its  primes:

\(52 = 2^2 *13\)

\(= \sqrt{2^2*13}\)

Apply radical  rule : \(\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}\)

\(= \sqrt{13} \sqrt{2^2}\)

Apply radical rule : \(\sqrt[n]{a^n} =a\)

\(\sqrt{2^2}=2\) 

therefore : \(= 2 \sqrt{13}\)

hope this helps!