If a=2+√3, find the value of (a-1/a).
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Step-by-step explanation:
a=2+√3
1/a=1/(2+√3)
=1/(2+√3)*(2-√3)/(2-√3)
=(2-√3)/(4-3)
=(2-√3)
Therefore,
a-1/a=(2+√3)-(2-√3)
=2+√3-2+√3
=2√3
Answer: 2√3
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