Question

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

Answer 1

$\frac{2 - \sqrt{5} }{2 + 3 \sqrt{5} } = a \sqrt{5} + b \\ \frac{2 - \sqrt{5} }{2 + 3 \sqrt{5} } \times \frac{2 - 3 \sqrt{5} }{2 - 3 \sqrt{5} } = a \sqrt{5 } + b \\ \frac{4 - 15}{4 - 3 \sqrt{5} } = a \sqrt{5} + b \\ \frac{ - 11}{ - 3 \sqrt{5} }$

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