Question

pls rationalise and give ans with explanation ​

Answer 1

Answer:

$- 3 + 5 \sqrt{3}$

Step-by-step explanation:

$\dfrac{ 2 \sqrt{3} }{5 + \sqrt{3} } = \left( \dfrac{2 \sqrt{3} }{5 + \sqrt{3} } \right) \left( \dfrac{5 - \sqrt{3} }{5 - \sqrt{3} } \right) \\ \\ = \dfrac{10 \sqrt{3} - 6 }{5 - 3} = \dfrac{2( - 3 + 5 \sqrt{3} )}{2} \\ \\ = - 3 + 5 \sqrt{3}$