ແກ້ E={left(frac{{2}^{2sqrt{3}}-{3}^{2sqrt{2}}}{{2}^{sqrt{3}}-{3}^{sqrt{2}}}-{3}^{sqrt{2}}right)}^{sqrt{3}}+{left({2}^sqrt{3}-1right)}^2-{4}^sqrt{3}+{2}^1+sqrt{3}-sqrt[3]{-8}

$$E = { \left( \frac{ { 2 }^{ 2 \sqrt{ 3 } } - { 3 }^{ 2 \sqrt{ 2 } } }{ { 2 }^{ \sqrt{ 3 } } - { 3 }^{ \sqrt{ 2 } } } - { 3 }^{ \sqrt{ 2 } } \right) }^{ \sqrt{ 3 } } + { \left( { 2 }^{ \sqrt{ 3 } } -1 \right) }^{ 2 } - { 4 }^{ \sqrt{ 3 } } + { 2 }^{ 1+ \sqrt{ 3 } } - \sqrt[ 3 ]{ -8 }$$

ແກ້ສຳລັບ E (complex solution)

$$E=\left(\frac{2^{\sqrt{3}}\times 3^{\sqrt{2}}-4^{\sqrt{3}}}{3^{\sqrt{2}}-2^{\sqrt{3}}}\right)^{\sqrt{3}}+2e^{\frac{4\pi i}{3}}+1\approx 8-1,732050808i$$

ມອບໝາຍ E (complex solution)

$$E≔\left(\frac{-2^{\sqrt{3}}\times 3^{\sqrt{2}}+4^{\sqrt{3}}+9^{\sqrt{2}}-3^{2\sqrt{2}}}{2^{\sqrt{3}}-3^{\sqrt{2}}}\right)^{\sqrt{3}}+2e^{\frac{4\pi i}{3}}+1$$

ແກ້ສຳລັບ E

$$E=11$$

ມອບໝາຍ E

$$E≔11$$