Question

5+√3/7-4√3=94a+3√3b please help me in doing this

Answer 1

i am usind x and y in place of a and b respectively
$5 + \frac{ \sqrt{3} }{7} - 4 \sqrt{3} = 94x + 3 \sqrt{3} y \\ = 5 + \frac{ \sqrt{3 } - 28 \sqrt{3} }{7} = 94x + 3 \sqrt{3}y \\ = 5 + \ \frac{ - 27 \sqrt{3} }{7} \\ comparing \: rational\: and \: irratioal \: term \\ 5 = 94x \: \: and \: \frac{ - 27 \sqrt{3} }{7} = 3 \sqrt{3} y \\ x = \frac{5}{95} and \: y = \frac{ - 9}{7}$