Question

Sa se arate ca:$\sqrt[3]{7+5 \sqrt{2} } + \sqrt[3]{7-5 \sqrt{2} } =2$

Answer 1

$\sqrt[3]{7+5 \sqrt{2} }+ \sqrt[3]{7-5 \sqrt{2} }= \sqrt[3]{(1+ \sqrt{2})^3}+ \sqrt[3]{(1- \sqrt{2})^3} =1+ \sqrt{2} +$$1- \sqrt{2}=2$