\(\sqrt{52}\)
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!