Question

Rationalise .....

5/2 + √3

Answer 1

$\frac{5}{2 + \sqrt{3} } \\ \\ = \geqslant \frac{5}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ = \geqslant \frac{10 - 5 \sqrt{3} }{ {2}^{2} - { \sqrt{3} }^{2} } \\ \\ = \geqslant \frac{10 - 5\sqrt{3} }{4 - 3} \\ \\ = \geqslant \frac{5(2 - \sqrt{3}) }{1}$

Answer 2

Answer:

Hello!!

$\sf\frac{5}{2+\sqrt{3}}$

=>$\sf \frac{5}{2+\sqrt{3}}$×$\frac{2-\sqrt{3}}{2-\sqrt{3}}$

=>$\sf \frac{{5}×2-\sqrt{3}}{2{}^{2}-\sqrt{3}{}^{2}}$

=>$\sf \frac{10-5\sqrt{3}}{4-3}$

=>$\sf \frac {10-5\sqrt{3}}{1}$

$\sf 5(5-\sqrt{3})$