Question

2 root2 +3root5/root5+2root3​

Answer 1

Answer:

$\huge \underline{ \sf{ \red{Given}}}$

Find :-

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

Solution :-

$= \frac{2 \sqrt{2 } + 3 \sqrt{5} }{ \sqrt{5 } + 2 \sqrt{3} }$

$= \frac{2 \sqrt{2} + 3 \sqrt{5} }{ \sqrt{5} + 2 \sqrt{3} } \times \frac{ \sqrt{5} - 2 \sqrt{3} }{ \sqrt{5} - 2 \sqrt{3} }$

$= \frac{2 \sqrt{10} + 15 - 4 \sqrt{6} - 6 \sqrt{15} }{ - 7}$