Odpowiedź:
1.
4/(√2 - 13) = 4/(√2 - 16) * (√2 + 16)/(√2 + 16) = 4(√2 + 16)/(2 - 256) =
= 4(√2 + 16)/(- 254) = - 4(√2 + 16)/254
2.
⁶√16³ = (16³)¹⁾⁶ = 16³⁾⁶ = 16¹⁾² = √16 = 4
16¹⁾⁴ = ⁴√16 = ⁴√2⁴ = 2
3.
4¹⁾⁴ = (2²)¹⁾⁴ = 2²⁾⁴ = 2¹⁾²
√8 = 8¹⁾² = (2³)¹⁾² = 2³⁾²
4¹⁾⁴ * 2⁻³⁾² * √8 = 2¹⁾² * 2⁻³⁾² * 2³⁾² = 2¹⁾²⁻ ³⁾² ⁺ ³⁾² = 2¹⁾²
⁾ - znaczy kreska ułamkowa