Resposta :
[tex]\sqrt{\frac{1296}{169}} = \frac{\sqrt{1296}}{\sqrt{169}}[/tex]
Raiz de 1296 = 36
Raiz de 169 = 13
Portanto:
[tex]\sqrt{\frac{1296}{169}} = \frac{36}{13}[/tex]
[tex]\sf\sqrt{\dfrac{1296}{169}}=\dfrac{\sqrt{36^2}}{\sqrt{13^2}}[/tex]
[tex]\boxed{\boxed{\sf\sqrt{\dfrac{1296}{169}}=\dfrac{36}{13}}}[/tex]