Question

Ratonalize
3/4-root3
​

Answer 1

$\frac{3}{4 - \sqrt{3} } \times \frac{4 + \sqrt{3} }{4 + \sqrt{3} } \\ \\ = \frac{3(4 + \sqrt{3} )}{( {4)}^{2} - ( { \sqrt{3}) }^{2} } \\ \\ = \frac{12 + 3 \sqrt{3} }{16 - 3 } \\ \\ = \frac{12 + 3 \sqrt{3} }{13}$