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IF 2-ROOT OF 3,THEN FIND THE VALUE OF X^2+1/X^2

Answer»

Answer:

As X= 2+30.5

then x - 1/x = 2+30.5 - 1/2+30.5

Then TAKE L.C.M.

= [ (2+30.3)2+1 ] / 2+30.5

= [ 6+4root3] / 2+root3

Then RATIONALISE the Denomenator

=[(6+4root3)(2-root3)] / [(2+root3)(2-root3)]

=[12-6root3+8root3-12] / [4-3]

= 2ROOT3 /1

Answer = 2root3



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