[tex] \sqrt{52} [/tex]
Break the number to its primes:
[tex]52 = 2^2 *13[/tex]
[tex]= \sqrt{2^2*13} [/tex]
Apply radical rule : [tex] \sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b} [/tex]
[tex]= \sqrt{13} \sqrt{2^2} [/tex]
Apply radical rule : [tex] \sqrt[n]{a^n} =a[/tex]
[tex] \sqrt{2^2}=2 [/tex]
therefore : [tex]= 2 \sqrt{13} [/tex]
hope this helps!
