Question

please answer it my friend.​

Answer 1

Answer:

$\frac{30}{4 \sqrt{3} + 3 \sqrt{2} } \\ = \frac{30 \times (4 \sqrt{3} - 3 \sqrt{2}) }{(4 \sqrt{3} + 3 \sqrt{2}) \times (4 \sqrt{3} - 3 \sqrt{2} ) } \\ = \frac{30 \times(4 \sqrt{3} - 3 \sqrt{2}) }{ {(4 \sqrt{3} )}^{2} - {(3 \sqrt{2}) }^{2} } \\ = > \frac{30 \times(4 \sqrt{3} - 3 \sqrt{2}) }{ 48 - 18 } \\ = > \frac{30}{30} \times (4 \sqrt{3} - 3 \sqrt{2} ) \\ = > 4 \sqrt{3} - 3 \sqrt{2} \\ = > 4 \sqrt{3} - a \sqrt{2} \\ = > a = 3$