Question

please answer fast
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Answer 1

Answer:

Option (d) 2 root 3

Step-by-step explanation:

Using,

a² - b² = (a+b) (a-b)

Given,

x = 2 + √3

Thus,

x -1/ x

= ( 2+√3) - 1/ ( 2+√3)

Rationalizing the denominator,

= ( 2+√3) - { 1× (2 - √3) } / 1

= (2 + √3) - ( 2- √3)

= 2+ √3 - 2 + √3

= 2 √3 Ans

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Answer 2

Answer:

Step-by-step explanation:

$x=2+\sqrt{3}$

then the value of,

$x-\frac{1}{x}$

$2+\sqrt{3} -\frac{1}{2+\sqrt{3} }$

Taking L.C.M  = $2+\sqrt{3}$

$\frac{(2+\sqrt{3})(2+\sqrt{3 )} -1 }{2+\sqrt{3} }$