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

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

Answer»

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

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

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