Question

Resolva .


$\sqrt{ \sqrt{ \sqrt[3]{11^{12}} } } + ( \sqrt{ \sqrt{3^{24}} } ) ^\frac{1}{3}$

Answer 1

$\sqrt{ \sqrt{ \sqrt[3]{11^{12}} } } + ( \sqrt{ \sqrt{3^{24}} } ) ^\frac{1}{3} \\ \\ \\ \sqrt[2*2*3]{11^{12}} + ( \sqrt[2*2]{3^{24}} ) ^\frac{1}{3} \\ \\ \\ \sqrt[12]{11^{12}} + ( \sqrt[4]{3^{24}} ) ^\frac{1}{3} \\ \\ \\ 11 + (3 ^\frac{24}{4} ) ^\frac{1}{3} \\ \\ \\ 11 + 3 ^{\frac{24}{4}* \frac{1}{3}} \\ \\ \\ 11 + 3 ^\frac{24}{12} \\ \\ \\ 11+3^2 \\ \\ \\ 11+9 \\ \\ \\ = 20$