1.

If a= 2+ root 3 , find the value of a +1/ a​

Answer»

ANSWER:

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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