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