find a+1/a if a=2+root3
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Step-by-step explanation:
Gn: a= 2+root3
To find: a+1/a
2+root3+1/2+root3
(After taking L.C.M)
(2+root3)^2+1/2+root3
=> 4+3+1+4root3/2+root3
=> 8+4root3/2+root3
By rationalising the denominator,
=> 8+4root3(2-root3)/2+root3(2-root3)
=> 16+8root3-8root3-12/4-3
=> 4
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