Respuesta :

Answer:

So the expression in simplified radical form will be [tex]\frac{5\sqrt{3}+6}{13}[/tex]

Step-by-step explanation:

We have have given the expression [tex]\frac{\sqrt{3}}{5-2\sqrt{3}}[/tex]

We have to write this expression in simplest radical form

For writing in simplest radical form we have to rationalize first

So after rationalizing

[tex]\frac{\sqrt{3}}{5-2\sqrt{3}}\times \frac{5+2\sqrt{3}}{5+2\sqrt{3}}=\frac{5\sqrt{3}+6}{25-12}=\frac{5\sqrt{3}+6}{13}[/tex]

So the expression in simplified radical form will be [tex]\frac{5\sqrt{3}+6}{13}[/tex]