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Butoxors [25]
3 years ago
6

Pleaaseeee help me :/

Mathematics
1 answer:
Sav [38]3 years ago
8 0
Hello,

\sqrt{x} - \sqrt{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\\\\
 \sqrt{6561} - \sqrt{81} =81-9=72
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