Question

if
$x = 2 - \sqrt{3} find \: the \: value \: of \: (x - \frac{1}{x} )$



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Answer 1

Answer:

-2√3

Step-by-step explanation:

x=2-√3.

1/x=1/2-√3

rationalize

1/2-√3*2+√3/2+√3=2+√3/(2)²-(√3)

2+√3/4-3=2+√3/1=2+√3

X-1/x=2-√3-(2+√3)

=2-√3-2-√3=-√3-√3=-2√3

x-1/x=-2√3