If a=3+2√5.find a+1÷a
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The Given Value Of a Is 3+2√5
That Means a=3+2√5
a+(1/a)=(3+2√5)+(1/(3+2√5))
=((3+2√5)^2+1))/(3+2√5)
=(9+20+12√5+1)/(3+2√5)
=(30+12√5)/(3+2√5)
=6(5+2√5)/(3+2√5)
=6((3+2√5)+2)/(3+2√5)
=6+(12/(3+2√5))
=2(3+(6/(3+2√5))
That Means a=3+2√5
a+(1/a)=(3+2√5)+(1/(3+2√5))
=((3+2√5)^2+1))/(3+2√5)
=(9+20+12√5+1)/(3+2√5)
=(30+12√5)/(3+2√5)
=6(5+2√5)/(3+2√5)
=6((3+2√5)+2)/(3+2√5)
=6+(12/(3+2√5))
=2(3+(6/(3+2√5))
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