Question

3-√5÷3+2√5
= a√5-b
Please answer asap! If wrongly answered then answer and account will be reported!!​

Answer 1

Answer:

$a = \frac{9}{11} \: \: \: b = \frac{19}{11}$

Step-by-step explanation:

$\frac{3 - \sqrt{5} }{3 + 2 \sqrt{5 } } \\ \frac{3 - \sqrt{5} }{3 + 2 \sqrt{5 } } \times \frac{3 - 2 \sqrt{5} }{3 - 2 \sqrt{5 } } \\ = \frac{(3 - \sqrt{5)} (3 - 2 \sqrt{5)} }{ {3}^{2} - {2 \sqrt{5} }^{2} } \\ = \frac{9 - 6 \sqrt{5} - 3 \sqrt{5} + 10 }{9 - 20 } \\ = \frac{19 - 9 \sqrt{5} }{ - 11} \\ = \frac{9 \sqrt{5} - 19 }{11} \\ = \frac{9 \sqrt{5} }{11} - \frac{19}{11}$

So a is =9/11 and b=19/11