Respuesta :

4√13
64+144=208
208÷16=13
8²=64
12²=144
4²=16
By the Pythagorean theorem,
  c² = 8² + 12²
  c² = 64 + 144 = 208
  c = √(208) = √(16×13)
  c = (√16)(√13) = 4√13

The best choice is
[tex]C.\quad4\sqrt{13}[/tex]