Question

○ calcular o valor da expressão:> Na foto...​

Answer 1

$\sqrt{118+\sqrt[3]{30-\sqrt{7+\sqrt[3]{8}}}}$

$\sqrt[3]{8}=2$, então:

$\sqrt{118+\sqrt[3]{30-\sqrt{7+2}}}\\\\\sqrt{118+\sqrt[3]{30-\sqrt{9}}$

$\sqrt{9}=3$, então:

$\sqrt{118+\sqrt[3]{30-3}}\\\\\sqrt{118+\sqrt[3]{27}$

$\sqrt[3]{27}=3$, então:

$\sqrt{118+3}\\\\\sqrt{121}=\boxed{11}$