Question

find the value of a ^2+ b^2

Answer 1

See the attachment for detail solution
Hope it will help you

Answer 2

find b first
that is 1/a
so 1/(5+2√6)
rationalize it you get
5-2√6/(25-24)
=5-2√6
so now put the value
a^2 +b^2
=(5+2√6)^2+ (5-2√6)^2
=25+20√6+24+25-20√6+24
=49+25-24
=50