if a= 2+√3 then find the value of a-1/2a
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or if it is wrong then pls report
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rohitkumargupta:
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a = 2 + √3
1/a = 1/(2 + √3) * (2 - √3)/(2 - √3)
1/a = (2 - √3)/(4 - 3)
1/a = (2 - √3)
1/2a = (2 - √3)/2
a - 1/2a = (2 + √3) - (2 - √3)/2
a - 1/2a = (4 + 2√3 - 2 + √3)/2
a - 1/2a = (2 + 3√2)/2
a - 1/2a = 1 + 3√2/2
1/a = 1/(2 + √3) * (2 - √3)/(2 - √3)
1/a = (2 - √3)/(4 - 3)
1/a = (2 - √3)
1/2a = (2 - √3)/2
a - 1/2a = (2 + √3) - (2 - √3)/2
a - 1/2a = (4 + 2√3 - 2 + √3)/2
a - 1/2a = (2 + 3√2)/2
a - 1/2a = 1 + 3√2/2
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