Write in simplified radical form by rationalizing the denominator: (3√{5}+2)/(2√{5)+5}

Question: Write in simplified radical form by rationalizing the denominator:

\[\frac{3\sqrt{5}+2}{2\sqrt{5}+5}\] $=\frac{3\sqrt{5}+2}{2\sqrt{5}+5}\times \frac{2\sqrt{5}-5}{2\sqrt{5}-5}=\frac{20-11\sqrt{5}}{-5}$

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