Question

find the value of a and b if 2-√5/2+3√5=a√5+b​

Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\sf ANSWER}} \\ \frac{2 - \sqrt{5} }{2 + 3\sqrt{5} } = a \sqrt{5} + b \\ \frac{2 - \sqrt{5} (2 - 3\sqrt{5}) }{4 - 45} \\ \frac{4 - 8 \sqrt{5} + 15 }{ - 41} \\ \frac{19}{ - 41} + \frac{8 \sqrt{5} }{ 41} \\ \\ b = - \frac{19}{41} \: \: and \: \: a = \frac{8}{41}$