Question

Pleaaseeee help me :/

Answer 1

Hello,


`√(x) - √(y) = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\ \sqrt[4]{x}- \sqrt[4]{y}=6\\\\ (\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\ \sqrt[4]{x}+ \sqrt[4]{y}=12 \\ \sqrt[4]{x}- \sqrt[4]{y}=6 \\\\ 2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\ 2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\`
Proof:

`\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\ √(6561) - √(81) =81-9=72`