Question

X=8-4root3 find x+1/x. Root x+1/root x

Answer 1

Step-by-step explanation:

Given,

x = 8 - 4 √3..........(1)

Now,

x + 1/x = (8 - 4√3) + 1 / (8 -4√3)

= (8 - 4 √3 ) + 1 × ( 8+4 √3 ) / (64 - 48)

=( 8 - 4√3) + { 4 ( 2 + √3 )}/ 16

= (8 - 4√3) +( 2 + √3) / 4

= (32 - 16√3 + 2 + √3 ) /4

= ( 34 - 15 √3 ) / 14 ANS

Also,

x + 1/ √x = ( 8 - 4√3) + 1 / √ { ( 8 - 4√3)}

= Now, try yourself......

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