Question

Rationalise the debominator

Answer 1

To rationalize -

$\sf{ \dfrac{1}{ 2 + \sqrt{3} } } \\ \\ \sf{ \implies { \dfrac{1}{ 2 + \sqrt{3} } \times \dfrac{ 2 - \sqrt{3} }{ 2 - \sqrt{3}} }}$

$\sf{ \implies { \dfrac{ 2 - \sqrt{3} }{ 4 - 3 }} }\\ \\ \sf{ \implies { 2 - \sqrt{3} }}$

This is the final answer .

AddiTiOnaL InFoRmAtIon

To rationalize the denominator in any case , Multiply the given fraction on both sides by the conjugate of the denominator and solve .

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A similar question to solve -

https://brainly.in/question/10463924

Answer to that Question -

=> 3 ( √ 5 + √ 3 )

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Answer 2

1/2+√3×1-√3/2-√3

2-√3