Riješi sqrt{a^2+asqrt{2b^2}+sqrt{b^2+bsqrt[3]{a^2b}}}

$$\sqrt { a ^ { 2 } + a \sqrt { 2 b ^ { 2 } } + \sqrt { b ^ { 2 } + b \sqrt[ 3 ] { a ^ { 2 } b } } }$$

Procijeni

$$\sqrt{\sqrt{2}a|b|+a^{2}+\sqrt{a^{\frac{2}{3}}+b^{\frac{2}{3}}}b^{\frac{2}{3}}}$$

Razlikovanje u pogledu a

$$\frac{3\sqrt[3]{a}\sqrt{2\left(a^{\frac{2}{3}}+b^{\frac{2}{3}}\right)}|b|+6\sqrt{a^{\frac{2}{3}}+b^{\frac{2}{3}}}a^{\frac{4}{3}}+b^{\frac{2}{3}}}{6\sqrt[3]{a}\sqrt{\left(a^{\frac{2}{3}}+b^{\frac{2}{3}}\right)\left(\sqrt{2}a|b|+a^{2}+\sqrt{a^{\frac{2}{3}}+b^{\frac{2}{3}}}b^{\frac{2}{3}}\right)}}$$