Question

$\frac{?}{?}$
​

Answer 1

Answer:

$\frac{4 \sqrt{30} - 29 }{21}$

Step-by-step explanation:

GIVEN:-

$\frac{ \sqrt{5 }- 2 \sqrt{6} }{2 \sqrt{6} - 3 \sqrt{5} }$

SOLUTION:-

$= \frac{ ({ \sqrt{5} - 2 \sqrt{6}) }^{2} }{ ({2 \sqrt{6}) }^{2 } - ({3 \sqrt{5}) }^{2} }$

$= \frac{ ({ \sqrt{5} - 2 \sqrt{6}) }^{2} }{ ({24) }^{} - (45) }$

$= \frac{5 + 24 - 4 \sqrt{30} }{ - 21}$

$= \frac{ - 29 + 4 \sqrt{30} }{21}$

$= \frac{4 \sqrt{30} - 29 }{21}$

HOPE THAT HELPS!!