if x is equal to 2 - root 3 find the value of x-1/x
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x=2-√3
1/x=1/2-√3
rationslising the denominator we have 1/x=(2+√3)/(2-√3)(2+√3)
=(2+√3)/(2^2-√3^2)
since( a+b)(a-b) =a^2-b^2
therefore
1/x=(2+√3)/4-3=2+√3
x-1/x=2-√3-(2+√3)
=2-√3-2-√3=-2√3
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