Question

If alpha and beta are roots of ax2 + bx + b = 0 then sqrt alpha / beta + sqrt

Answer 1

$a {x}^{2} + bx + c = 0 \\ \\ \alpha + \beta = - \frac{b}{a} \\ \\ \alpha \beta = \frac{c}{a} \\ \\ \bold{ \large{ \sqrt{ \frac{ \alpha }{ \beta } } + \sqrt{ \frac{ \beta }{ \alpha } } }} \\ \\ \bold{ \large{ = \frac{ \alpha + \beta }{ \sqrt{ \alpha \beta } } }} \\ \\ \bold{ \large{ = \frac{ - \frac{b}{a} }{ \sqrt{ \frac{c}{a} } } }} \\ \\ \bold{ \large{ = - \frac{b}{ \sqrt{ac} } }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\color{purple}{\bold{ \large{hope \: it \: helps}}}}$