Question

упростите: √2 ∛2 ⁶√2

Answer 1

√2 = ⁶√2^3; ∛2 = ⁶√2^2.

√2 ∛2 ⁶√2 = ⁶√2^3 ⁶√2^2 ⁶√2 = ⁶√2^6 = 2.

Ответ: 2.

Answer 2

$sqrt{2}cdot sqrt[3]{2}cdot sqrt[6]{2}=2^{frac{1}{2}}cdot 2^{frac{1}{3}}cdot 2^{frac{1}{6}}=2^{frac{1}{2}+frac{1}{3}+frac{1}{6}}=2^{frac{6}{6}}=2^1=2$