Simplify 2?3+3?53?5?2?3

Question 1 Report

Simplify $\frac{2 \sqrt{3} + 3 \sqrt{5}}{3 \sqrt{5} - 2 \sqrt{3}}$

\frac{19 + 4 \sqrt{25}}{11}

\frac{19 + 4 \sqrt{15}}{11}

\frac{19 + 2 \sqrt{15}}{11}

\frac{19 + 2 \sqrt{15}}{19}

Answer Details

$\frac{(2 \sqrt{3} + 3 \sqrt{5}) (3 \sqrt{5} + 2 \sqrt{3})}{(3 \sqrt{5} - 2 \sqrt{3}) (3 \sqrt{5} - 2 \sqrt{3})}$
= $\frac{5 + 12 \sqrt{15}}{33}$
= $\frac{19 + 4 \sqrt{15}}{11}$

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