Question

if 5-2√3 by 7-4√3=a-√3b then find a and b​

Answer 1

Answer:

a =11

b =6

Step-by-step explanation:

$\frac{5 - 2 \sqrt{3}}{7 - 4\sqrt{3} } = a - \sqrt{3} b \\ rationalizing \: the \: denominator \\ \frac{(5 - 2 \sqrt{3})(7 + 4 \sqrt{3}) }{49 - 48} \\ = 35 + 20 \sqrt{3} - 14 \sqrt{3} - 24 \\ = 11 + 6 \sqrt{3} \\ by \: comparing \: both \: sides \\ a = 11 \: \: and \: \: b = 6 \: \: (ans.)$

Hope this helps. :))