Question

If x= root 3 + 1/root3 then find the value of x+1/x

Answer 1

Answer:

Thank you for asking this question. Here is your answer:

(√3-1)/(√3+1)

=[(√3-1)/(√3+1)]×[(√3-1)/(√3-1)]

=(3+1-2√3)/(3-1)

=(4-2√3)/2

=[2(2-√3)]/2

=2-√3

a-b√3=2-√3

∴the values of a=2 and b=1

So the values of a and b are 2 and 1 respectively.  

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