Question

Racionalize
15/√3
√2/√3
5/2√3

Answer 1

$A) \frac{15}{ \sqrt{3} } \to \frac{15}{ \sqrt{3} } * \frac{ \sqrt{3} }{ \sqrt{3} } \to \frac{15 \sqrt{3} }{ \sqrt{9} } \to \frac{15\sqrt{3}}{ 3 } \to 5\sqrt{3} \\\\\\\\ B) \frac{ \sqrt{2} }{ \sqrt{3} } \to \frac{ \sqrt{2} }{ \sqrt{3} } * \frac{ \sqrt{3} }{ \sqrt{3} } \to \frac{ \sqrt{6} }{ \sqrt{9} } \to \frac{ \sqrt{6} }{3 }$



$C) \frac{ 5}{ 2\sqrt{3} } \to \frac{ 5 }{ 2\sqrt{3} }*\frac{ 2\sqrt{3} }{ 2\sqrt{3} }\to \frac{ 10\sqrt{3} }{ 2\sqrt{9} }\to \frac{ 10\sqrt{3} }{ 2*3 }\to \frac{ 10\sqrt{3} }{ 6 }\to \frac{ 5\sqrt{3} }{ 3 }$