Question

pls find a and b plsss​

Answer 1

Answer:

a = 2

b = 5/6

Step-by-step explanation:

$\frac{ \sqrt{2} + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } = a + b \sqrt{6} \\ \frac{( \sqrt{2} + \sqrt{3}) }{(3 \sqrt{2} - 2 \sqrt{3} )} \times \frac{(3 \sqrt{2} + 2 \sqrt{3} ) }{(3 \sqrt{2} + 2 \sqrt{3} )} = a + b \sqrt{6} \\ \frac{6 + 2 \sqrt{6} + 3 \sqrt{6} + 6}{ {(3 \sqrt{2} )}^{2} - {(2 \sqrt{3}) }^{2} } = a + b \sqrt{6} \\ \frac{12 + 5 \sqrt{6} }{6} = a + b \sqrt{6} \\ 2 + \frac{5}{6} \sqrt{6} = a + b \sqrt{6} \\ a = 2 \\ b = \frac{5}{6}$