if a=2+√3,find a - 1÷a
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Answer:
a=2+√3
1/a=1/(2+√3)
=(2-√3)/(2+√3)(2-√3)
=(2-√3)/(2^2-√3^2)
=(2-√3)/(4-3)
=2-√3
a-1/a=(2+√3)-(2-√3)=2+√3-2+√3=2√3
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