Question

if a=6root35 then find the value of a2+1/a2

Answer 1

$\: \: \: \pink{ \underline{\huge \frak{ *\: Hola! \: Mate \: *} }} \: \\ \\ \: \: \: \: \red {\boxed{\mathbb{✓ \: Here \: Is \: Your \: Answer \: ✓}}} \: \\ \\ \blue {\underline{{\huge\star \tiny{\bf{SOLUTION}} \huge\star}}} \blue \rightarrow \\ \\ \green {\rightarrow{{@ = \sqrt[6]{35} \: (GIVEN) }}} \\ \\ \red{\bf{【 \star \: FIND \: \star】} }: \\ \\ \small \bf{the \: value \: of \: \frac{ { \alpha }^{2} +1 }{ { \alpha }^{2} } } \\ \\ \rightarrow\frak{\frac{ { \alpha }^{2} +1 }{ { \alpha }^{2} } } \\ \\ \rightarrow \frac{ { (\sqrt[6]{35) } ^{2} + 1 }}{(\sqrt[6]{35)} ^{2} } \: \: \\ \\ \rightarrow \frac{36 \times 35 + 1}{36 \times 35} \: \huge(\tiny{ < \sqrt{35} \times \sqrt{35} = 35 > } \huge) \\ \\ \rightarrow\frac{1260 + 1}{1260} \\ \\ \rightarrow \frac{1261}{1260} = 1.00079 \: \: \: \blue {\underline{( \frak{approx \: 1 })}}$