Question

. If m = 5 + 2√6 and n = 1/m, then find m2 + n2
.

Answer 1

Step-by-step explanation:

n=1/5+2√6=5-2√6/(5+2√6)(5-2√6)

=5-2√6/(5)^2-(2√6)^2

=5-2√6/25-24=5-2√6

m^2+n^2=(5+2√6)^2+(5-2√6)^2

=25+20√6+24+25-20√6+24

=50+48=98