Question

rationatise the denominator : 1/2+√3​

Answer 1

Answer:

2.23

Step-by-step explanation:

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Answer 2

$\huge\purple{Required \: Answer :}$

$2 - \sqrt{3}$

$\huge\bf{Explanation :}$

To Rationalize :

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

Solution :

$= \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ = \frac{2 - \sqrt{3} }{(2 + \sqrt{3)} (2 - \sqrt{3)} } \\ = \frac{2 - \sqrt{3} }{ {2}^{2} - { \sqrt{3} }^{2} } \\ = \frac{2 - \sqrt{3} }{4 - 3} \\ = \frac{2 - \sqrt{3} }{1} \\ = 2 - \sqrt{3}$

$\huge\sf\implies{Thanks : ❤}$