Question

Qual o valor da expressão raiz quadrada de nove mais raiz quadrada de quarenta e nove menos raiz cubica de oito mais raiz sétima de um?

Answer 1

$\sqrt{9}~+~\sqrt{49}~-~\sqrt[3]{8}~+~\sqrt[7]{1}~=~\\\\\\=~\sqrt{3~.~3}~+~\sqrt{7~.~7}~-~\sqrt[3]{2~.~2~.~2}~+~\sqrt[7]{1~.~1~.~1~.~1~.~1~.~1~.~1}~=\\\\\\=~\sqrt{3^2}~+~\sqrt{7^2}~-~\sqrt[3]{2^3}~+~\sqrt[7]{1^7}~=\\\\\\=~3~+~7~-~2~+~1~=\\\\\\=~\boxed{9}$