Question

if x=2+ root3 find x-1/x​

Answer 1

Answer:

Given,

x = 2+√3

Therefore,

1/x = 1/2+√3

After rationalising,

1/x = 2 - √3

So,

x - 1/x

= 2+√3 - (2 - √3)

= 2 + √3 - 2 + √3

= 2√3

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Answer 2

Step-by-step explanation:

x = 2+ √3 then X - 1/x

2 + √3 -1/ 2+√ 3 = ( 2 + √3 )^ - 1/

2+√3= 4 + 3 + 4√ 3 -1 / 2+ √ 3 = 6 + 4√3 / 2 + √ 3 = ( 6 + 4√3 ) (2 - √3 )/ (2 + √3 ) ( 2 - √3 )

12 + 8√3 - 6√3 -12 / 4 -3

2√2 /1 = 2√2