if x=2 + root3. the value of x + 1/x is
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x = 2 + √3
1/x = 1/(2 + √3) * (2 - √3)/(2 - √3)
1/x = (2 - √3)/(4 - 3)
[ (a - b)(a + b) = (a² - b²) ]
1/x = (2 - √3)
now,
x + 1/x = (2 + √3) + (2 - √3)
x + 1/x = 2 + 2 + √3 - √3
x + 1/x = 4
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