Question

2. Rationalise the denominator of each of the following: 1 /2 + root3

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Answer 1

$\underline{\fbox{ {Required \: Answer} }}$

➠ 2 - √3

Step-by-Step Explanation :

$\implies \frac{1}{ \red{2 + \sqrt{3}} } \times \frac{ 2 - \sqrt{3} }{ \red{2 - \sqrt{3} }} \\ \\∴ \boxed{a {}^{2} - b {}^{2} = (a + b)(a - b) } \\ \\ \implies \frac{2 - \sqrt{3} }{(2) {}^{2} - ( \sqrt{3} ) {}^{2} } \\ \\ \implies \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \implies \frac{2 - \sqrt{3} }{1} \\ \\ : \implies \boxed{ \sf \green{2 - \sqrt{3} }}$

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