Question

Find the value of x-1/x if x=2+√3

Answer 1

x-1/x= (2+√3 - 1)/(2+√3)=( 1+ √3)/ (2+√3)

=(1+1.732)/(2+1.732)

=2.732/3.732

=0.732

Answer 2

x=(2+√3)

=>1/x = 1/(2+√3)

=>1/x=2-√3

Now,

x-(1/x)=(2+√3)-(2-√3)

=>x-(1/x)=2√3

Therefore, x-(1/x)=2√3 = 2×1.732=3.464
Answer.

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