If a=5+2 root 6 and b=1/a, then what will be the value of a^2+b^2 ??

Pls help me

A=5+2âˆš6, b=1/a=1/(5+2âˆš6)

aÂ²+bÂ²=aÂ²+1/aÂ²

=(5+2âˆš6)Â²+1/(5+2âˆš6)Â²

=(25+24+10âˆš2)+1(5-2âˆš6)Â²/(5+2âˆš6)Â²(5-2âˆš6)Â²

=(49+10âˆš2)+(5-2âˆš6)Â²/(5Â²-2âˆš6Â²)

=(49+10âˆš2)+(25+24-10âˆš2)/(25-24)

=(49+10âˆš2)+(49-10âˆš2)/1

=49+10âˆš2+49-10âˆš2

=98