Question

Quanto é :
4 raiz de 3 / 2 menos 5 raiz de 3 / 5?

Answer 1

                   $\frac{4 \sqrt{3} }{2-5 \sqrt{ \frac{3}{5} } } \\ \\ = \frac{3 \sqrt{3} (2+5 \sqrt{ \frac{3}{5}) } }{(2-5 \sqrt{ \frac{3}{5})(2+5 \sqrt{ \frac{3}{5} } ) } } \\ \\ = \frac{6 \sqrt{3}+15 \sqrt{3}. \sqrt{ \frac{3}{5} } }{4-25( \frac{3}{5}) } \\ \\ = \frac{6 \sqrt{3}+15. \frac{3}{ \sqrt{5} } }{-11} \\ \\ = \frac{6 \sqrt{3}+ \frac{15.3 \sqrt{5} }{5} }{-11} \\ \\ = \frac{6 \sqrt{3} +9 \sqrt{5} }{-11} \\ \\ =- \frac{6 \sqrt{3} +9 \sqrt{5} }{11}$