Question

Simplifique o radical
a) ∜1024

Answer 1

⁴√ 1024 = ⁴√2¹⁰    = ⁴√2⁴.2⁴.2² =2.2. ⁴√ 4    = 4 . ⁴√ 4
1024|2
512  |2
256  |2
128  |2
 64   |2
 32   |2
  16  |2
    8  |2
    4  |2
    2  |2
    1

Answer 2

a) ∜1024

∜256 (4)

∜4⁴ ⠂4

4∜4

4∜2²

4√√2²

$\boxed {4√2}$