Question

X=7+2√10 then X+1/X=?​

Answer 1

${\purple {{\bold{ \huge \dag }}\bold {\huge{{\mathcal {\underline{Answer}}}} \dag}}}$

$\star \: \underline \blue{Solution} \blue{ :}$

$x = 7 + 2 \sqrt{10} \\ \longrightarrow \: {x}^{2} = {(7 + 2 \sqrt{10} )}^{2} \\ \bold {{adding \: 1 \: both \: side}} \\ \longrightarrow {x}^{2} + 1 = 49 + 40 + 28 \sqrt{10} + 1 \\ \bold{multiply \: \frac{1}{x} \: both \: side} \\ \longrightarrow \frac{ {x}^{2} + 1}{x} = \frac{90 + 28 \sqrt{10} }{7 + 2 \sqrt{10} } \\ \longrightarrow \: \boxed {\mathfrak{x + \frac{1}{x} = \frac{90 + 28 \sqrt{10} }{7 + 2 \sqrt{10} }}}$

$\bold {///MARK \: IT \: BRAINLIEST///}$